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: 5

Answer

$\color{blue}{\left\{-5, 0, 4\right\}}$

Work Step by Step

RECALL: Zero-Factor Property: If $ab = 0$, then either $a=0$ or $b=0$ or both are $0$. Use the property above to obtain: \begin{array}{ccccc} &x=0 &\text{or} &x-4=0 &\text{or} &x+5=0 \end{array} Solve each equation to obtain: $x=0$ or $x-4=0 \\x=0+4 \\x=4$ or $x+5=0 \\x=0-5 \\x=-5$ Thus, the solution set is $\color{blue}{\left\{-5, 0, 4\right\}}$.
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