Solve for I (complex solution)
\left\{\begin{matrix}I=\frac{W}{V^{2}}\text{, }&V\neq 0\\I\in \mathrm{C}\text{, }&W=0\text{ and }V=0\end{matrix}\right.
Solve for I
\left\{\begin{matrix}I=\frac{W}{V^{2}}\text{, }&V\neq 0\\I\in \mathrm{R}\text{, }&W=0\text{ and }V=0\end{matrix}\right.
Solve for V (complex solution)
\left\{\begin{matrix}V=-I^{-\frac{1}{2}}\sqrt{W}\text{; }V=I^{-\frac{1}{2}}\sqrt{W}\text{, }&I\neq 0\\V\in \mathrm{C}\text{, }&W=0\text{ and }I=0\end{matrix}\right.
Solve for V
\left\{\begin{matrix}V=\sqrt{\frac{W}{I}}\text{; }V=-\sqrt{\frac{W}{I}}\text{, }&\left(W\geq 0\text{ and }I>0\right)\text{ or }\left(W\leq 0\text{ and }I<0\right)\\V\in \mathrm{R}\text{, }&W=0\text{ and }I=0\end{matrix}\right.
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W=V^{2}I
Multiply V and V to get V^{2}.
V^{2}I=W
Swap sides so that all variable terms are on the left hand side.
\frac{V^{2}I}{V^{2}}=\frac{W}{V^{2}}
Divide both sides by V^{2}.
I=\frac{W}{V^{2}}
Dividing by V^{2} undoes the multiplication by V^{2}.
W=V^{2}I
Multiply V and V to get V^{2}.
V^{2}I=W
Swap sides so that all variable terms are on the left hand side.
\frac{V^{2}I}{V^{2}}=\frac{W}{V^{2}}
Divide both sides by V^{2}.
I=\frac{W}{V^{2}}
Dividing by V^{2} undoes the multiplication by V^{2}.
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