## Elementary Algebra

$\left\{0, 11\right\}$
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 $\left\{0, 11\right\}$.