# How do you solve -3(x+5)^2+17=2?

$x = - 5 \pm \sqrt{5}$
$- 3 {\left(x + 5\right)}^{2} + 17 = 2$
$- 3 {\left(x + 5\right)}^{2} = - 15$
${\left(x + 5\right)}^{2} = 5$
$x + 5 = \pm \sqrt{5}$
$x = - 5 \pm \sqrt{5}$