Solve for a x=(at^2)/2

$x = \frac{a t^{2}}{2}$

Rewrite the equation as $\frac{a t^{2}}{2} = x$ .

$\frac{a t^{2}}{2} = x$

Multiply both sides of the equation by $2$ .

$2 \frac{a t^{2}}{2} = 2 x$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$2 \frac{a t^{2}}{2} = 2 x$

Rewrite the expression.

$a t^{2} = 2 x$

Divide each term in $a t^{2} = 2 x$ by $t^{2}$ and simplify.

Divide each term in $a t^{2} = 2 x$ by $t^{2}$ .

$\frac{a t^{2}}{t^{2}} = \frac{2 x}{t^{2}}$

Simplify the left side.

Cancel the common factor of $t^{2}$ .

Cancel the common factor.

$\frac{a t^{2}}{t^{2}} = \frac{2 x}{t^{2}}$

Divide $a$ by $1$ .

$a = \frac{2 x}{t^{2}}$