## Intermediate Algebra (6th Edition)

Published by Pearson

# Chapter 5 - Section 5.8 - Solving Equations by Factoring and Problem Solving - Exercise Set: 10

{-9, 8}

#### Work Step by Step

Reorder $n^{2}$ + n = 72 to $n^{2}$ + n - 72 1. Factor: $n^{2}$ + n - 72 = (n + 9)(n - 8) 2. Apply the zero factor property to the factored expression: a) n + 9 = 0 b) n - 8 = 0 3. Solve each linear equation: a) n = -9 b) n = 8 The solutions are {-9, 8}.

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