Solve for R
\left\{\begin{matrix}R=\frac{U^{2}}{P}\text{, }&U\neq 0\text{ and }P\neq 0\\R\neq 0\text{, }&P=0\text{ and }U=0\end{matrix}\right.
Solve for P
P=\frac{U^{2}}{R}
R\neq 0
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PR=UU
Variable R cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by R.
PR=U^{2}
Multiply U and U to get U^{2}.
\frac{PR}{P}=\frac{U^{2}}{P}
Divide both sides by P.
R=\frac{U^{2}}{P}
Dividing by P undoes the multiplication by P.
R=\frac{U^{2}}{P}\text{, }R\neq 0
Variable R cannot be equal to 0.
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