Solve for q (complex solution)
\left\{\begin{matrix}q=\frac{P}{w-v}\text{, }&w\neq v\\q\in \mathrm{C}\text{, }&P=0\text{ and }w=v\end{matrix}\right.
Solve for q
\left\{\begin{matrix}q=\frac{P}{w-v}\text{, }&w\neq v\\q\in \mathrm{R}\text{, }&P=0\text{ and }w=v\end{matrix}\right.
Solve for P
P=q\left(w-v\right)
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wq-vq=P
Swap sides so that all variable terms are on the left hand side.
\left(w-v\right)q=P
Combine all terms containing q.
\frac{\left(w-v\right)q}{w-v}=\frac{P}{w-v}
Divide both sides by w-v.
q=\frac{P}{w-v}
Dividing by w-v undoes the multiplication by w-v.
wq-vq=P
Swap sides so that all variable terms are on the left hand side.
\left(w-v\right)q=P
Combine all terms containing q.
\frac{\left(w-v\right)q}{w-v}=\frac{P}{w-v}
Divide both sides by w-v.
q=\frac{P}{w-v}
Dividing by w-v undoes the multiplication by w-v.
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