Solve for w
\left\{\begin{matrix}w=\frac{xy}{v}\text{, }&y\neq 0\text{ and }x\neq 0\text{ and }v\neq 0\\w\neq 0\text{, }&\left(y=0\text{ or }x=0\right)\text{ and }v=0\end{matrix}\right.
Solve for v
v=\frac{xy}{w}
w\neq 0
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vw=1xy
Variable w cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by w.
vw=xy
Reorder the terms.
\frac{vw}{v}=\frac{xy}{v}
Divide both sides by v.
w=\frac{xy}{v}
Dividing by v undoes the multiplication by v.
w=\frac{xy}{v}\text{, }w\neq 0
Variable w cannot be equal to 0.
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