Solve for x (complex solution)
\left\{\begin{matrix}\\x=-1\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&x_{12}=0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}\\x=-1\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&x_{12}=0\end{matrix}\right.
Solve for x_12 (complex solution)
\left\{\begin{matrix}\\x_{12}=0\text{, }&\text{unconditionally}\\x_{12}\in \mathrm{C}\text{, }&x=-1\end{matrix}\right.
Solve for x_12
\left\{\begin{matrix}\\x_{12}=0\text{, }&\text{unconditionally}\\x_{12}\in \mathrm{R}\text{, }&x=-1\end{matrix}\right.
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x_{12}x=-x_{12}
Swap sides so that all variable terms are on the left hand side.
\frac{x_{12}x}{x_{12}}=-\frac{x_{12}}{x_{12}}
Divide both sides by x_{12}.
x=-\frac{x_{12}}{x_{12}}
Dividing by x_{12} undoes the multiplication by x_{12}.
x=-1
Divide -x_{12} by x_{12}.
x_{12}x=-x_{12}
Swap sides so that all variable terms are on the left hand side.
\frac{x_{12}x}{x_{12}}=-\frac{x_{12}}{x_{12}}
Divide both sides by x_{12}.
x=-\frac{x_{12}}{x_{12}}
Dividing by x_{12} undoes the multiplication by x_{12}.
x=-1
Divide -x_{12} by x_{12}.
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