Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 4 - Quadratic Functions - 4.5 Solving Equations by Factoring - 4.5 Exercises - Page 359: 27


$\color{blue}{\left\{-4, 0\right\}}$

Work Step by Step

Factor out $5x$ to obtain: $5x(x+4)=0$ RECALL: The Zero-Factor Property states that if $ab=0$, then $a=0$ or $b=0$, or both are zero. Use the Zero-Factor Property by equating each factor to zero to obtain: $5x=0$ or $x+4=0$ Solve each equation to obtain: $5x=0 \\\frac{5x}{5}=\frac{0}{5} \\x=0$ or $x+4=0 \\x=0-4 \\x=-4$ Therefore, the solution set is $\color{blue}{\left\{-4, 0\right\}}$.
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