Solve V=IRR

$$V = I R R$$

Solve for I

$$\left\{\begin{matrix}I=\frac{V}{R^{2}}\text{, }&R\neq 0\\I\in \mathrm{R}\text{, }&V=0\text{ and }R=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply R and R to get R^{2}.

$$V=IR^{2}$$

Swap sides so that all variable terms are on the left hand side.

$$IR^{2}=V$$

The equation is in standard form.

$$R^{2}I=V$$

Divide both sides by R^{2}.

$$\frac{R^{2}I}{R^{2}}=\frac{V}{R^{2}}$$

Dividing by R^{2} undoes the multiplication by R^{2}.

$$I=\frac{V}{R^{2}}$$

Solve for R

$$\left\{\begin{matrix}R=\sqrt{\frac{V}{I}}\text{; }R=-\sqrt{\frac{V}{I}}\text{, }&\left(V\geq 0\text{ and }I>0\right)\text{ or }\left(V\leq 0\text{ and }I<0\right)\\R\in \mathrm{R}\text{, }&V=0\text{ and }I=0\end{matrix}\right.$$