Solve V^2=u^2r

$$V ^ { 2 } = u ^ { 2 } r$$

Solve for r

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

Steps for Solving Linear Equation

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

$$u^{2}r=V^{2}$$

Divide both sides by u^{2}.

$$\frac{u^{2}r}{u^{2}}=\frac{V^{2}}{u^{2}}$$

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

$$r=\frac{V^{2}}{u^{2}}$$

Solve for V

$$\left\{\begin{matrix}V=\sqrt{r}u\text{; }V=-\sqrt{r}u\text{, }&r\geq 0\\V=0\text{, }&u=0\end{matrix}\right.$$