Answer
$x=0$ and $x=-5$.
Work Step by Step
The given equation is
$\Rightarrow x^2+5x=0$
Factor out $x$.
$\Rightarrow x(x+5)=0$
Use zero-product property rule.
$\Rightarrow x=0$ or $x+5=0$
Solve for $x$.
$\Rightarrow x=0$ or $x=-5$
Hence, the solutions are $x=0$ and $x=-5$.