Answer
$\left\{0, 11\right\}$
Work Step by Step
Subtract $11x$ on both sides to obtain:
$x^2-11x=0$
Factor out $x$ to obtain:
$x(x-11) = 0$
Equate each factor to 0 to obtain:
$x=0 \text{ or } x-11=0$
Solve each equation to obtain:
$x=0 \text{ or } x=11$
Therefore, the solution set is $\left\{0, 11\right\}$.