Solve S=v^2/2a

$$S = \frac{ { v }^{ 2 } }{ 2a }$$

Solve for a

$$\left\{\begin{matrix}a=\frac{v^{2}}{2S}\text{, }&v\neq 0\text{ and }S\neq 0\\a\neq 0\text{, }&S=0\text{ and }v=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2a.

$$S\times 2a=v^{2}$$

Reorder the terms.

$$2Sa=v^{2}$$

Divide both sides by 2S.

$$\frac{2Sa}{2S}=\frac{v^{2}}{2S}$$

Dividing by 2S undoes the multiplication by 2S.

$$a=\frac{v^{2}}{2S}$$

Variable a cannot be equal to 0.

$$a=\frac{v^{2}}{2S}\text{, }a\neq 0$$

Solve for S

$$S=\frac{v^{2}}{2a}$$

$$a\neq 0$$