digraph physicsDerivation { 
overlap = false;
label="derivation: quadratic equation derivation
https://allofphysiscs.com";
fontsize=12;
0008494551 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_declareinitialexpression.png",labelloc=b];
0008494551 -> generated_expression_9285928292_d603cce7f1978554f397d7171e853b095d08a01fbd344f70d8b9b63ac190b8d9;
generated_expression_9285928292_d603cce7f1978554f397d7171e853b095d08a01fbd344f70d8b9b63ac190b8d9 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_9285928292_d603cce7f1978554f397d7171e853b095d08a01fbd344f70d8b9b63ac190b8d9.png",labelloc=b];
0008492932 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_dividebothsidesby.png",labelloc=b];
generated_expression_9285928292_d603cce7f1978554f397d7171e853b095d08a01fbd344f70d8b9b63ac190b8d9 -> 0008492932;
generated_expression_9285928292_d603cce7f1978554f397d7171e853b095d08a01fbd344f70d8b9b63ac190b8d9 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_9285928292_d603cce7f1978554f397d7171e853b095d08a01fbd344f70d8b9b63ac190b8d9.png",labelloc=b];
0008492932 -> generated_expression_5958392859_291d49a15df3d6653c804fbcba4ec28334cefd4b778ee3a0883f73444c7c10ec;
generated_expression_5958392859_291d49a15df3d6653c804fbcba4ec28334cefd4b778ee3a0883f73444c7c10ec [shape=ellipse, color=black,label="",image="/code/static/generated_expression_5958392859_291d49a15df3d6653c804fbcba4ec28334cefd4b778ee3a0883f73444c7c10ec.png",labelloc=b];
generated_feed_0002424922_ca978112ca1bbdcafac231b39a23dc4da786eff8147c4e72b9807785afee48bb -> 0008492932;
generated_feed_0002424922_ca978112ca1bbdcafac231b39a23dc4da786eff8147c4e72b9807785afee48bb [shape=box, color=red,label="",image="/code/static/generated_feed_0002424922_ca978112ca1bbdcafac231b39a23dc4da786eff8147c4e72b9807785afee48bb.png",labelloc=b];
0005829110 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_subtractXfrombothsides.png",labelloc=b];
generated_expression_5958392859_291d49a15df3d6653c804fbcba4ec28334cefd4b778ee3a0883f73444c7c10ec -> 0005829110;
generated_expression_5958392859_291d49a15df3d6653c804fbcba4ec28334cefd4b778ee3a0883f73444c7c10ec [shape=ellipse, color=black,label="",image="/code/static/generated_expression_5958392859_291d49a15df3d6653c804fbcba4ec28334cefd4b778ee3a0883f73444c7c10ec.png",labelloc=b];
0005829110 -> generated_expression_5938459282_7fe31698c37a9aa099a2621cfb37a33b719aa8516b0937ab0814775cd128e217;
generated_expression_5938459282_7fe31698c37a9aa099a2621cfb37a33b719aa8516b0937ab0814775cd128e217 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_5938459282_7fe31698c37a9aa099a2621cfb37a33b719aa8516b0937ab0814775cd128e217.png",labelloc=b];
generated_feed_0006644853_79ddc716c1894dc2394d8a1f26296e33a4a1a906f2434fe513b2f9e4c58a583f -> 0005829110;
generated_feed_0006644853_79ddc716c1894dc2394d8a1f26296e33a4a1a906f2434fe513b2f9e4c58a583f [shape=box, color=red,label="",image="/code/static/generated_feed_0006644853_79ddc716c1894dc2394d8a1f26296e33a4a1a906f2434fe513b2f9e4c58a583f.png",labelloc=b];
0002500423 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_addXtobothsides.png",labelloc=b];
generated_expression_5938459282_7fe31698c37a9aa099a2621cfb37a33b719aa8516b0937ab0814775cd128e217 -> 0002500423;
generated_expression_5938459282_7fe31698c37a9aa099a2621cfb37a33b719aa8516b0937ab0814775cd128e217 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_5938459282_7fe31698c37a9aa099a2621cfb37a33b719aa8516b0937ab0814775cd128e217.png",labelloc=b];
0002500423 -> generated_expression_5928292841_9b4be0864bfc13a248a8e24b6f1e5c7bc5511286416a3e848931cdfce8281a62;
generated_expression_5928292841_9b4be0864bfc13a248a8e24b6f1e5c7bc5511286416a3e848931cdfce8281a62 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_5928292841_9b4be0864bfc13a248a8e24b6f1e5c7bc5511286416a3e848931cdfce8281a62.png",labelloc=b];
generated_feed_0004307451_a1c6eaffca9e5cf066f5952f426575b4b4a406cc368e606407f02b893bf65f89 -> 0002500423;
generated_feed_0004307451_a1c6eaffca9e5cf066f5952f426575b4b4a406cc368e606407f02b893bf65f89 [shape=box, color=red,label="",image="/code/static/generated_feed_0004307451_a1c6eaffca9e5cf066f5952f426575b4b4a406cc368e606407f02b893bf65f89.png",labelloc=b];
0008321038 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_changevariableXtoY.png",labelloc=b];
generated_expression_8582954722_650c24c808f1d20686bc55be9ab2a51ac314379e556a16bab5bbbeb97b0627c5 -> 0008321038;
generated_expression_8582954722_650c24c808f1d20686bc55be9ab2a51ac314379e556a16bab5bbbeb97b0627c5 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_8582954722_650c24c808f1d20686bc55be9ab2a51ac314379e556a16bab5bbbeb97b0627c5.png",labelloc=b];
0008321038 -> generated_expression_5928285821_2111d52eb33ac310cbb735880aae095ff39a4e7e879633c4ac41e709dc5d25e6;
generated_expression_5928285821_2111d52eb33ac310cbb735880aae095ff39a4e7e879633c4ac41e709dc5d25e6 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_5928285821_2111d52eb33ac310cbb735880aae095ff39a4e7e879633c4ac41e709dc5d25e6.png",labelloc=b];
generated_feed_0000999900_8c9c69db4e53d05fd45134abe83756d657f2b30688adcfe4c9054fb43fb8be0d -> 0008321038;
generated_feed_0000999900_8c9c69db4e53d05fd45134abe83756d657f2b30688adcfe4c9054fb43fb8be0d [shape=box, color=red,label="",image="/code/static/generated_feed_0000999900_8c9c69db4e53d05fd45134abe83756d657f2b30688adcfe4c9054fb43fb8be0d.png",labelloc=b];
generated_feed_0004858592_aaa9402664f1a41f40ebbc52c9993eb66aeb366602958fdfaa283b71e64db123 -> 0008321038;
generated_feed_0004858592_aaa9402664f1a41f40ebbc52c9993eb66aeb366602958fdfaa283b71e64db123 [shape=box, color=red,label="",image="/code/static/generated_feed_0004858592_aaa9402664f1a41f40ebbc52c9993eb66aeb366602958fdfaa283b71e64db123.png",labelloc=b];
0007996484 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_simplify.png",labelloc=b];
generated_expression_5928285821_2111d52eb33ac310cbb735880aae095ff39a4e7e879633c4ac41e709dc5d25e6 -> 0007996484;
generated_expression_5928285821_2111d52eb33ac310cbb735880aae095ff39a4e7e879633c4ac41e709dc5d25e6 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_5928285821_2111d52eb33ac310cbb735880aae095ff39a4e7e879633c4ac41e709dc5d25e6.png",labelloc=b];
0007996484 -> generated_expression_5959282914_8e3ac8b4e4220dc8a0a33abf4f2e274c87684cf4e513787b7a89b6c31aa491a5;
generated_expression_5959282914_8e3ac8b4e4220dc8a0a33abf4f2e274c87684cf4e513787b7a89b6c31aa491a5 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_5959282914_8e3ac8b4e4220dc8a0a33abf4f2e274c87684cf4e513787b7a89b6c31aa491a5.png",labelloc=b];
0008494552 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_declareinitialexpression.png",labelloc=b];
0008494552 -> generated_expression_8582954722_650c24c808f1d20686bc55be9ab2a51ac314379e556a16bab5bbbeb97b0627c5;
generated_expression_8582954722_650c24c808f1d20686bc55be9ab2a51ac314379e556a16bab5bbbeb97b0627c5 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_8582954722_650c24c808f1d20686bc55be9ab2a51ac314379e556a16bab5bbbeb97b0627c5.png",labelloc=b];
0007777777 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_LHSofexpr1equalsLHSofexpr2.png",labelloc=b];
generated_expression_5959282914_8e3ac8b4e4220dc8a0a33abf4f2e274c87684cf4e513787b7a89b6c31aa491a5 -> 0007777777;
generated_expression_5959282914_8e3ac8b4e4220dc8a0a33abf4f2e274c87684cf4e513787b7a89b6c31aa491a5 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_5959282914_8e3ac8b4e4220dc8a0a33abf4f2e274c87684cf4e513787b7a89b6c31aa491a5.png",labelloc=b];
generated_expression_5928292841_9b4be0864bfc13a248a8e24b6f1e5c7bc5511286416a3e848931cdfce8281a62 -> 0007777777;
generated_expression_5928292841_9b4be0864bfc13a248a8e24b6f1e5c7bc5511286416a3e848931cdfce8281a62 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_5928292841_9b4be0864bfc13a248a8e24b6f1e5c7bc5511286416a3e848931cdfce8281a62.png",labelloc=b];
0007777777 -> generated_expression_9385938295_52e9f8e15b668a3c737ece5996356e72d8b5a4e07668428addacdc4add98345a;
generated_expression_9385938295_52e9f8e15b668a3c737ece5996356e72d8b5a4e07668428addacdc4add98345a [shape=ellipse, color=black,label="",image="/code/static/generated_expression_9385938295_52e9f8e15b668a3c737ece5996356e72d8b5a4e07668428addacdc4add98345a.png",labelloc=b];
0007487443 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_squarerootbothsides.png",labelloc=b];
generated_expression_9385938295_52e9f8e15b668a3c737ece5996356e72d8b5a4e07668428addacdc4add98345a -> 0007487443;
generated_expression_9385938295_52e9f8e15b668a3c737ece5996356e72d8b5a4e07668428addacdc4add98345a [shape=ellipse, color=black,label="",image="/code/static/generated_expression_9385938295_52e9f8e15b668a3c737ece5996356e72d8b5a4e07668428addacdc4add98345a.png",labelloc=b];
0007487443 -> generated_expression_9582958294_b032bcf04556e65d0d78132f99e03df387889cfae40adf3ab44cddd9dd97beb4;
generated_expression_9582958294_b032bcf04556e65d0d78132f99e03df387889cfae40adf3ab44cddd9dd97beb4 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_9582958294_b032bcf04556e65d0d78132f99e03df387889cfae40adf3ab44cddd9dd97beb4.png",labelloc=b];
0007487443 -> generated_expression_5982958249_e783624c49170534bb78013fb9a73bbd98ebeccb73a9a41d435cedb7449082df;
generated_expression_5982958249_e783624c49170534bb78013fb9a73bbd98ebeccb73a9a41d435cedb7449082df [shape=ellipse, color=black,label="",image="/code/static/generated_expression_5982958249_e783624c49170534bb78013fb9a73bbd98ebeccb73a9a41d435cedb7449082df.png",labelloc=b];
0002200910 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_subtractXfrombothsides.png",labelloc=b];
generated_expression_5982958249_e783624c49170534bb78013fb9a73bbd98ebeccb73a9a41d435cedb7449082df -> 0002200910;
generated_expression_5982958249_e783624c49170534bb78013fb9a73bbd98ebeccb73a9a41d435cedb7449082df [shape=ellipse, color=black,label="",image="/code/static/generated_expression_5982958249_e783624c49170534bb78013fb9a73bbd98ebeccb73a9a41d435cedb7449082df.png",labelloc=b];
0002200910 -> generated_expression_9582958293_29869cea446a1841929ab9fc356adb9a41bcf55dcd5bc3133ea57fc18c3d8868;
generated_expression_9582958293_29869cea446a1841929ab9fc356adb9a41bcf55dcd5bc3133ea57fc18c3d8868 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_9582958293_29869cea446a1841929ab9fc356adb9a41bcf55dcd5bc3133ea57fc18c3d8868.png",labelloc=b];
generated_feed_0002838490_8c9c69db4e53d05fd45134abe83756d657f2b30688adcfe4c9054fb43fb8be0d -> 0002200910;
generated_feed_0002838490_8c9c69db4e53d05fd45134abe83756d657f2b30688adcfe4c9054fb43fb8be0d [shape=box, color=red,label="",image="/code/static/generated_feed_0002838490_8c9c69db4e53d05fd45134abe83756d657f2b30688adcfe4c9054fb43fb8be0d.png",labelloc=b];
0002200911 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_subtractXfrombothsides.png",labelloc=b];
generated_expression_9582958294_b032bcf04556e65d0d78132f99e03df387889cfae40adf3ab44cddd9dd97beb4 -> 0002200911;
generated_expression_9582958294_b032bcf04556e65d0d78132f99e03df387889cfae40adf3ab44cddd9dd97beb4 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_9582958294_b032bcf04556e65d0d78132f99e03df387889cfae40adf3ab44cddd9dd97beb4.png",labelloc=b];
0002200911 -> generated_expression_5982958248_4f342899e641ad3807c45231519611da275ed1b9915180ec69f2c8d7a5ed7f2d;
generated_expression_5982958248_4f342899e641ad3807c45231519611da275ed1b9915180ec69f2c8d7a5ed7f2d [shape=ellipse, color=black,label="",image="/code/static/generated_expression_5982958248_4f342899e641ad3807c45231519611da275ed1b9915180ec69f2c8d7a5ed7f2d.png",labelloc=b];
generated_feed_0002449291_8c9c69db4e53d05fd45134abe83756d657f2b30688adcfe4c9054fb43fb8be0d -> 0002200911;
generated_feed_0002449291_8c9c69db4e53d05fd45134abe83756d657f2b30688adcfe4c9054fb43fb8be0d [shape=box, color=red,label="",image="/code/static/generated_feed_0002449291_8c9c69db4e53d05fd45134abe83756d657f2b30688adcfe4c9054fb43fb8be0d.png",labelloc=b];
0002211910 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_simplify.png",labelloc=b];
generated_expression_5982958248_4f342899e641ad3807c45231519611da275ed1b9915180ec69f2c8d7a5ed7f2d -> 0002211910;
generated_expression_5982958248_4f342899e641ad3807c45231519611da275ed1b9915180ec69f2c8d7a5ed7f2d [shape=ellipse, color=black,label="",image="/code/static/generated_expression_5982958248_4f342899e641ad3807c45231519611da275ed1b9915180ec69f2c8d7a5ed7f2d.png",labelloc=b];
0002211910 -> generated_expression_9999999968_85ebbae5489511fca82ce524188472ddd82f00bdbd011500febd6763d11b10d8;
generated_expression_9999999968_85ebbae5489511fca82ce524188472ddd82f00bdbd011500febd6763d11b10d8 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_9999999968_85ebbae5489511fca82ce524188472ddd82f00bdbd011500febd6763d11b10d8.png",labelloc=b];
0002211911 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_simplify.png",labelloc=b];
generated_expression_9582958293_29869cea446a1841929ab9fc356adb9a41bcf55dcd5bc3133ea57fc18c3d8868 -> 0002211911;
generated_expression_9582958293_29869cea446a1841929ab9fc356adb9a41bcf55dcd5bc3133ea57fc18c3d8868 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_9582958293_29869cea446a1841929ab9fc356adb9a41bcf55dcd5bc3133ea57fc18c3d8868.png",labelloc=b];
0002211911 -> generated_expression_9999999969_2c02e950ece1ba956c2c280259fdb2896787c9027736621c4183ddebda301ec3;
generated_expression_9999999969_2c02e950ece1ba956c2c280259fdb2896787c9027736621c4183ddebda301ec3 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_9999999969_2c02e950ece1ba956c2c280259fdb2896787c9027736621c4183ddebda301ec3.png",labelloc=b];
0008359402 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_declarefinalexpression.png",labelloc=b];
generated_expression_9999999968_85ebbae5489511fca82ce524188472ddd82f00bdbd011500febd6763d11b10d8 -> 0008359402;
generated_expression_9999999968_85ebbae5489511fca82ce524188472ddd82f00bdbd011500febd6763d11b10d8 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_9999999968_85ebbae5489511fca82ce524188472ddd82f00bdbd011500febd6763d11b10d8.png",labelloc=b];
0008359403 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_declarefinalexpression.png",labelloc=b];
generated_expression_9999999969_2c02e950ece1ba956c2c280259fdb2896787c9027736621c4183ddebda301ec3 -> 0008359403;
generated_expression_9999999969_2c02e950ece1ba956c2c280259fdb2896787c9027736621c4183ddebda301ec3 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_9999999969_2c02e950ece1ba956c2c280259fdb2896787c9027736621c4183ddebda301ec3.png",labelloc=b];
}