Solve for a G=a/(d-f^3)

$G = \frac{a}{d - f^{3}}$

Rewrite the equation as $\frac{a}{d - f^{3}} = G$ .

$\frac{a}{d - f^{3}} = G$

Multiply both sides by $d - f^{3}$ .

$\frac{a}{d - f^{3}} (d - f^{3}) = G (d - f^{3})$

Simplify.

Simplify the left side.

Cancel the common factor of $d - f^{3}$ .

Cancel the common factor.

$\frac{a}{d - f^{3}} (d - f^{3}) = G (d - f^{3})$

Rewrite the expression.

$a = G (d - f^{3})$

Simplify the right side.

Simplify $G (d - f^{3})$ .

Apply the distributive property.

$a = G d + G (- f^{3})$

Simplify the expression.

Rewrite using the commutative property of multiplication.

$a = G d - G f^{3}$

Reorder $G$ and $d$ .

$a = d G - G f^{3}$

Move $G$ .

$a = d G - f^{3} G$

Reorder $d G$ and $- f^{3} G$ .

$a = - f^{3} G + d G$