Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.8 - Solving Equations by Factoring and Problem Solving - Vocabulary, Readiness & Video Check - Page 322: 6


$w=\{ 0,-7 \}$

Work Step by Step

By the Zero-Product Property, $ab=0$ implies $a=0 \text{ OR } b=0$. Hence, the solution to the given equation, $ w(w+7)=0 $, is \begin{array}{} w=0 ,\\\\\text{OR}\\\\ w+7=0 \\ w=0-7 \\ w=-7 .\end{array} Hence, $ w=\{ 0,-7 \} $.
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