Solve for m L=5mn^2 ; for m

$L = 5 m n^{2}$ ; for $m$

Step 1

Rewrite the equation as $5 m n^{2} = L$ .

$5 m n^{2} = L$

Step 2

Divide each term in $5 m n^{2} = L$ by $5 n^{2}$ and simplify.

Divide each term in $5 m n^{2} = L$ by $5 n^{2}$ .

$\frac{5 m n^{2}}{5 n^{2}} = \frac{L}{5 n^{2}}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 m n^{2}}{5 n^{2}} = \frac{L}{5 n^{2}}$

Rewrite the expression.

$\frac{m n^{2}}{n^{2}} = \frac{L}{5 n^{2}}$

Cancel the common factor of $n^{2}$ .

Cancel the common factor.

$\frac{m n^{2}}{n^{2}} = \frac{L}{5 n^{2}}$

Divide $m$ by $1$ .

$m = \frac{L}{5 n^{2}}$