Solve for b g=b/(d+2^2)

$g = \frac{b}{d + 2^{2}}$

Step 1

Rewrite the equation as $\frac{b}{d + 2^{2}} = g$ .

$\frac{b}{d + 2^{2}} = g$

Step 2

Multiply both sides by $d + 2^{2}$ .

$\frac{b}{d + 2^{2}} (d + 2^{2}) = g (d + 2^{2})$

Step 3

Simplify.

Simplify the left side.

Cancel the common factor of $d + 2^{2}$ .

Cancel the common factor.

$\frac{b}{d + 2^{2}} (d + 2^{2}) = g (d + 2^{2})$

Rewrite the expression.

$b = g (d + 2^{2})$

Simplify the right side.

Simplify $g (d + 2^{2})$ .

Raise $2$ to the power of $2$ .

$b = g (d + 4)$

Apply the distributive property.

$b = g d + g \cdot 4$

Simplify the expression.

Move $4$ to the left of $g$ .

$b = g d + 4 \cdot g$

Reorder $g$ and $d$ .

$b = d g + 4 g$