Solve for a m=a/(f-5h^2)

$m = \frac{a}{f - 5 h^{2}}$

Step 1

Rewrite the equation as $\frac{a}{f - 5 h^{2}} = m$ .

$\frac{a}{f - 5 h^{2}} = m$

Step 2

Multiply both sides by $f - 5 h^{2}$ .

$\frac{a}{f - 5 h^{2}} (f - 5 h^{2}) = m (f - 5 h^{2})$

Step 3

Simplify.

Simplify the left side.

Cancel the common factor of $f - 5 h^{2}$ .

Cancel the common factor.

$\frac{a}{f - 5 h^{2}} (f - 5 h^{2}) = m (f - 5 h^{2})$

Rewrite the expression.

$a = m (f - 5 h^{2})$

Simplify the right side.

Simplify $m (f - 5 h^{2})$ .

Apply the distributive property.

$a = m f + m (- 5 h^{2})$

Simplify the expression.

Rewrite using the commutative property of multiplication.

$a = m f - 5 m h^{2}$

Reorder $m$ and $f$ .

$a = f m - 5 m h^{2}$

Move $m$ .

$a = f m - 5 h^{2} m$

Reorder $f m$ and $- 5 h^{2} m$ .

$a = - 5 h^{2} m + f m$