## Elementary Algebra

Published by Cengage Learning

# Chapter 6 - Factoring, Solving Equations, and Problem Solving - 6.1 - Factoring by Using the Distributive Property - Problem Set 6.1: 83

#### Answer

$x = 4, 6$

#### Work Step by Step

1) Expand and simplify to solve for $x$ $4(x-6)-x(x-6) = 0$ $4x - 24 - x^{2} + 6x = 0$ $-x^{2}+10x-24$ 2) Simply solve for $x$ $(4-x)(x-6) = 0$ $x = 4, 6$

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