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: 1

Answer

$x=\{ -5,3 \}$

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, $ (x-3)(x+5)=0 $, is \begin{array}{} x-3=0 \\ x=0+3 \\ x=3 ,\\\\\text{OR}\\\\ x+5=0 \\ x=0-5 \\ x=-5 .\end{array} Hence, $ x=\{ -5,3 \} $.
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