Answer
The solution set is $\left\{0, -17\right\}$.
Work Step by Step
Factor out $x$:
$x(x+17)=0$
Use the zero-product property by equating each factor to zero, then solve each equation.
$x=0 \text{ or } x+17=0
\\x=0 \text{ or } x=-17$
The solutions are $0$ and $-17$.