## Elementary Algebra

{$-11,0$}
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 {$-11,0$}.