#### Answer

$x=\left\{ -7-\sqrt{5},-7+\sqrt{5} \right\}$

#### Work Step by Step

Taking the square root of both sides (the Square Root Property), the solutions to the given equation, $
(y+7)^2=5
,$ are
\begin{array}{l}\require{cancel}
y+7=\pm\sqrt{5}
\\\\
y=-7\pm\sqrt{5}
.\end{array}
Hence, $
x=\left\{ -7-\sqrt{5},-7+\sqrt{5} \right\}
.$