Solve for g w=gh-3gt^2

$w = g h - 3 g t^{2}$

Step 1

Rewrite the equation as $g h - 3 g t^{2} = w$ .

$g h - 3 g t^{2} = w$

Step 2

Factor $g$ out of $g h - 3 g t^{2}$ .

Factor $g$ out of $g h$ .

$g (h) - 3 g t^{2} = w$

Factor $g$ out of $- 3 g t^{2}$ .

$g (h) + g (- 3 t^{2}) = w$

Factor $g$ out of $g (h) + g (- 3 t^{2})$ .

$g (h - 3 t^{2}) = w$

Step 3

Divide each term in $g (h - 3 t^{2}) = w$ by $h - 3 t^{2}$ and simplify.

Divide each term in $g (h - 3 t^{2}) = w$ by $h - 3 t^{2}$ .

$\frac{g (h - 3 t^{2})}{h - 3 t^{2}} = \frac{w}{h - 3 t^{2}}$

Simplify the left side.

Cancel the common factor of $h - 3 t^{2}$ .

Cancel the common factor.

$\frac{g (h - 3 t^{2})}{h - 3 t^{2}} = \frac{w}{h - 3 t^{2}}$

Divide $g$ by $1$ .

$g = \frac{w}{h - 3 t^{2}}$