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: 3

Answer

$\color{blue}{\left\{-\frac{10}{3}, -7\right\}}$

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} &2=0 &\text{or} &w+7=0 &\text{or} &3w+10=0 \end{array} Solve each equation to obtain: $2=0$, no solution or $w+7=0 \\w=0-7 \\w=-7$ or $3w+10=0 \\3w=0-10 \\3w=-10 \\\frac{3w}{3} = \frac{-10}{3} \\w = -\frac{10}{3}$ Thus, the solution set is $\color{blue}{\left\{-\frac{10}{3}, -7\right\}}$.
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