# How do you solve -6m^2 = -414?

Jul 24, 2015

$m = \pm \sqrt{69}$
$- 6 {m}^{2} = - 414$
$\textcolor{w h i t e}{\text{XXXX}}$divide both sides by $\left(- 6\right)$
$\rightarrow {m}^{2} = 69$
$\textcolor{w h i t e}{\text{XXXX}}$take square root of both sides
$\rightarrow m = \pm \sqrt{69}$