Answer
{$-2,-6$}
Work Step by Step
Quadratic formula suggests that $x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}$
Given: $x^2+8x+12=0$
Thus, $x=\dfrac{-8 \pm \sqrt{(8)^2-4(1)(12)}}{2(1)}$
or, $x=\dfrac{-8 \pm 4}{2}$
or, $x=\dfrac{-8 + 4}{2}=-2$ and $x=\dfrac{-8 - 4}{2}=-6$
Our solution set is: {$-2,-6$}