## Elementary Algebra

Published by Cengage Learning

# Chapter 6 - Factoring, Solving Equations, and Problem Solving - Chapter 6 Review Problem Set: 40

#### Answer

{$-2,3$}

#### Work Step by Step

Since $(x+2)$ is common to both the terms of the equation, we take it out as a common factor: $3(x+2)-x(x+2)=0$ $(x+2)(3-x)=0$ Now, we equate all the factors to zero to solve the equation: $(x+2)(3-x)=0$ $x+2=0$ or $3-x=0$ $x=-2$ or $x=3$ Therefore, the solution set is {$-2,3$}.

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