Answer
$x=-2-i\sqrt 7, -2+i\sqrt 7$
Work Step by Step
$(x+2)^{2}=-7$
$x+2=\sqrt -7= -2-i\sqrt 7, -2+i\sqrt 7$
$x=-2-i\sqrt 7, -2+i\sqrt 7$
Take the square root of both sides. Then isolate $x$ from both of the resulting equations to get two answers.