Answer
$-2$
Work Step by Step
Subtract 32 on both sides of the equation to obtain:
$x^5=-32$
Write $-32$ as $(-2)^5$ to obtain:
$x^5=(-2)^5$
Take the fifth root of both sides to obtain:
$x = \sqrt[5]{(-2)^5}
\\x = -2$
Thus, the solution set of the given equation is $\left\{-2\right\}$.