Generated by the Physics Derivation Graph. Eq. \ref{eq:1580045} is an initial equation. \begin{equation} \exp(i x) = \cos(x)+i \sin(x) \label{eq:1580045} \end{equation} Change variable \(x\) to \(\pi\) in Eq. \ref{eq:1580045}; yields Eq. \ref{eq:1148677}. \begin{equation} \exp(i \pi) = \cos(\pi)+i \sin(\pi) \label{eq:1148677} \end{equation} Simplify Eq. \ref{eq:1148677}; yields Eq. \ref{eq:8524301}. \begin{equation} \exp(i \pi) = -1 + i 0 \label{eq:8524301} \end{equation} Simplify Eq. \ref{eq:8524301}; yields Eq. \ref{eq:9610540}. \begin{equation} \exp(i \pi) = -1 \label{eq:9610540} \end{equation} Add \(1\) to both sides of Eq. \ref{eq:9610540}; yields Eq. \ref{eq:9472905}. \begin{equation} \exp(i \pi) + 1 = 0 \label{eq:9472905} \end{equation} Eq. \ref{eq:9472905} is one of the final equations.