Solve for g s=1/2*(gt^2)

$s = \frac{1}{2} \cdot (g t^{2})$

Step 1

Rewrite the equation as $\frac{1}{2} \cdot (g t^{2}) = s$ .

$\frac{1}{2} \cdot (g t^{2}) = s$

Step 2

Multiply both sides of the equation by $2$ .

$2 (\frac{1}{2} \cdot (g t^{2})) = 2 s$

Step 3

Simplify the left side.

Simplify $2 (\frac{1}{2} \cdot (g t^{2}))$ .

Multiply $\frac{1}{2} (g t^{2})$ .

Combine $g$ and $\frac{1}{2}$ .

$2 (\frac{g}{2} t^{2}) = 2 s$

Combine $\frac{g}{2}$ and $t^{2}$ .

$2 \frac{g t^{2}}{2} = 2 s$

Cancel the common factor of $2$ .

Cancel the common factor.

$2 \frac{g t^{2}}{2} = 2 s$

Rewrite the expression.

$g t^{2} = 2 s$

Step 4

Divide each term in $g t^{2} = 2 s$ by $t^{2}$ and simplify.

Divide each term in $g t^{2} = 2 s$ by $t^{2}$ .

$\frac{g t^{2}}{t^{2}} = \frac{2 s}{t^{2}}$

Simplify the left side.

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

Cancel the common factor.

$\frac{g t^{2}}{t^{2}} = \frac{2 s}{t^{2}}$

Divide $g$ by $1$ .

$g = \frac{2 s}{t^{2}}$