Solve for z_1
\left\{\begin{matrix}z_{1}=\frac{z}{z_{2}}\text{, }&z_{2}\neq 0\\z_{1}\in \mathrm{R}\text{, }&z=0\text{ and }z_{2}=0\end{matrix}\right.
Solve for z
z=z_{1}z_{2}
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z_{1}z_{2}=z
Swap sides so that all variable terms are on the left hand side.
z_{2}z_{1}=z
The equation is in standard form.
\frac{z_{2}z_{1}}{z_{2}}=\frac{z}{z_{2}}
Divide both sides by z_{2}.
z_{1}=\frac{z}{z_{2}}
Dividing by z_{2} undoes the multiplication by z_{2}.
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