Answer
{$-3,-5$}
Work Step by Step
Quadratic formula suggests that $x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}$
Given: $x^2+8x+15=0$
Thus, $x=\dfrac{-8 \pm \sqrt{(8)^2-4(1)(15)}}{2(1)}$
or, $x=\dfrac{-8 \pm 2}{2}$
or, $x=\dfrac{-8 + 2}{2}=-3$ and $x=\dfrac{-8 -2}{2}=-5$
Our solution set is: {$-3,-5$}