#### Answer

$w = -4$ or $w =+9$

#### Work Step by Step

$w^2 - 5w = 36$
Step 1:
is not needed because there is no fractions.
$w^2 - 5w = 36$
Step 2: is not needed.
$w^2 - 5w = 36$
Step 3:
is not needed since no simplifying can be done on either side of the equation.
$w^2 - 5w = 36$
Step 4:
The equation is quadratic.
Step 5: Rewrite the equation in standard form.
$w^2 -5w-36 = 0$
Step 6: Factor.
$(w +4)(w -9) = 0$
Step 7: Set each factor equal to 0.
$w +4 = 0$ or $w -9 = 0$
Solve each equation.
$w = -4$ or $w =+9$