Answer
The solution is $\left\{-3, -1\right\}$.
Work Step by Step
Take the square root of both sides to obtain:
$x+2 = \pm \sqrt{1}
\\x+2 = \pm 1$
Subtract 2 to both sides to obtain:
$x = \pm 1 - 2$
Split the solutions to obtain:
$x_1 = 1-2 =-1
\\x_2 = -1-2 = -3$
Thus, the solution is $\left\{-3, -1\right\}$.