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 358: 7


$\color{blue}{\left\{-7, 0, 9\right\}}$

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} &4x=0 &\text{or} &x-9=0 &\text{or} &x+7=0 \end{array} Solve each equation to obtain: $4x=0 \\\frac{4x}{4}=\frac{0}{4} \\x=0$ or $x-9=0 \\x=0+9 \\x=9$ or $x+7=0 \\x=0-7 \\x=-7$ Thus, the solution set is $\color{blue}{\left\{-7, 0, 9\right\}}$.
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