Solve for a b^2=a/m-H

$b^{2} = \frac{a}{m} - H$

Rewrite the equation as $\frac{a}{m} - H = b^{2}$ .

$\frac{a}{m} - H = b^{2}$

Add $H$ to both sides of the equation.

$\frac{a}{m} = b^{2} + H$

Multiply both sides by $m$ .

$\frac{a}{m} m = (b^{2} + H) m$

Simplify.

Simplify the left side.

Cancel the common factor of $m$ .

Cancel the common factor.

$\frac{a}{m} m = (b^{2} + H) m$

Rewrite the expression.

$a = (b^{2} + H) m$

Simplify the right side.

Simplify $(b^{2} + H) m$ .

Apply the distributive property.

$a = b^{2} m + H m$

Reorder $H$ and $m$ .

$a = b^{2} m + m H$