Solve s=(v^2-u^2)/2a

$$s = \frac { ( v ^ { 2 } - u ^ { 2 } ) } { 2 a }$$

Solve for a

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

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.

$$s\times 2a=v^{2}-u^{2}$$

Reorder the terms.

$$2as=-u^{2}+v^{2}$$

The equation is in standard form.

$$2sa=v^{2}-u^{2}$$

Divide both sides by 2s.

$$\frac{2sa}{2s}=\frac{\left(v-u\right)\left(u+v\right)}{2s}$$

Dividing by 2s undoes the multiplication by 2s.

$$a=\frac{\left(v-u\right)\left(u+v\right)}{2s}$$

Variable a cannot be equal to 0.

$$a=\frac{\left(v-u\right)\left(u+v\right)}{2s}\text{, }a\neq 0$$

Solve for s

$$s=-\frac{u^{2}-v^{2}}{2a}$$

$$a\neq 0$$