#### Answer

{$-11,0$}

#### Work Step by Step

We will first rearrange the equation to factor out $x$, and then we will equate the resultant factors to zero to solve the equation:
$x^{2}=-11x$
$x^{2}+11x=0$
$x(x+11)=0$
$x=0$ and $x+11=0$
$x=0$ and $x=-11$
Therefore, the solution set is {$-11,0$}.