Solve for m m^2-36=0

$m^{2} - 36 = 0$

Add $36$ to both sides of the equation.

$m^{2} = 36$

Take the square root of both sides of the equation to eliminate the exponent on the left side.

$m = \pm \sqrt{36}$

Simplify $\pm \sqrt{36}$ .

Rewrite $36$ as $6^{2}$ .

$m = \pm \sqrt{6^{2}}$

Pull terms out from under the radical, assuming positive real numbers.

$m = \pm 6$

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the $\pm$ to find the first solution.

$m = 6$

Next, use the negative value of the $\pm$ to find the second solution.

$m = - 6$

The complete solution is the result of both the positive and negative portions of the solution.

$m = 6, - 6$