# Chapter 5 - Section 5.8 - Solving Equations by Factoring and Problem Solving - Exercise Set - Page 323: 38

{4, 8}

#### Work Step by Step

1. Factor the equation. $x^{2}$ + 32 = 12x $x^{2}$ - 12x + 32 = 0 (x - 8)(x - 4) = 0 2. Apply the zero factor property. a) x - 8 = 0 b) x - 4 = 0 3. Solve each equation. a) x = 8 b) x = 4 The solutions are {4, 8}.

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