How do you solve -3(x+2)^2=-18?

Aug 1, 2016

$\textcolor{g r e e n}{x = - 2 \pm \sqrt{6}}$

Explanation:

Given
$\textcolor{w h i t e}{\text{XXX}} - 3 {\left(x + 2\right)}^{2} = - 18$

Dividing both sides by $\left(- 3\right)$
$\textcolor{w h i t e}{\text{XXX}} {\left(x + 2\right)}^{2} = 6$

Taking the roots:
$\textcolor{w h i t e}{\text{XXX}} x + 2 = \pm \sqrt{6}$

Subtracting $2$ from both sides
$\textcolor{w h i t e}{\text{XXX}} x = - 2 \pm \sqrt{6}$