# Chapter 5 - Section 5.8 - Solving Equations by Factoring and Problem Solving - Exercise Set: 37

{-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}.

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