Answer
The solutions are $x=-2$ and $x=-8$
Work Step by Step
$(x+5)^{2}=9$
Take the square root of both sides of the equation:
$\sqrt{(x+5)^{2}}=\pm\sqrt{9}$
$x+5=\pm3$
Solve for $x$:
$x=\pm3-5$
$x=3-5=-2$
$x=-3-5=-8$
The solutions are $x=-2$ and $x=-8$