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: 3

Answer

$z=\{ -7,3 \}$

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, $ (z-3)(z+7)=0 $, is \begin{array}{} z-3=0 \\ z=0+3 \\ z=3 ,\\\\\text{OR}\\\\ z+7=0 \\ z=0-7 \\ z=-7 .\end{array} Hence, $ z=\{ -7,3 \} $.
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