#### Answer

m = ±$\frac{1}{6}$

#### Work Step by Step

3$m^{2}$ - $\frac{1}{12}$ = 0
Add $\frac{1}{12}$ to both sides:
3$m^{2}$ - $\frac{1}{12}$ + $\frac{1}{12}$ = 0 + $\frac{1}{12}$
3$m^{2}$ = $\frac{1}{12}$
Divide both sides by 3:
(3$m^{2}$) $\div$ 3 = $\frac{1}{12}$ $\div$ 3
$m^{2}$ = $\frac{1}{36}$
Take the square root of both sides to get m by itself:
$\sqrt (m^{2})$ = $\sqrt \frac{1}{36}$
m = ±$\frac{\sqrt 1}{\sqrt 36}$ = ±$\frac{1}{6}$