#### Answer

{-4, 9}

#### Work Step by Step

1. Factor the equation.
$w^{2}$ - 5w = 36
$w^{2}$ - 5w - 36 = 0
(w + 4)(w - 9) = 0
2. Apply the zero factor property.
a) w + 4 = 0
b) w - 9 = 0
3. Solve each equation.
a) w = -4
b) w = 9
The solutions are {-4, 9}.