Solve for a g=b(a+D^2)

$g = b (a + D^{2})$

Rewrite the equation as $b (a + D^{2}) = g$ .

$b (a + D^{2}) = g$

Divide each term in $b (a + D^{2}) = g$ by $b$ and simplify.

Divide each term in $b (a + D^{2}) = g$ by $b$ .

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

Simplify the left side.

Cancel the common factor of $b$ .

Cancel the common factor.

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

Divide $a + D^{2}$ by $1$ .

$a + D^{2} = \frac{g}{b}$

Subtract $D^{2}$ from both sides of the equation.

$a = \frac{g}{b} - D^{2}$