Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter R - Elementary Algebra Review - R.5 Polynomials and Factoring - R.5 Exercise Set - Page 970: 32


$x=\left\{ \dfrac{7}{4},\dfrac{5}{3} \right\}$

Work Step by Step

Equating each factor to zero (Zero Product Property), then \begin{array}{l}\require{cancel} 3x-5=0 \\\\\text{OR}\\\\ 7-4x=0 .\end{array} Solving each equation results to \begin{array}{l}\require{cancel} 3x-5=0 \\\\ 3x=5 \\\\ x=\dfrac{5}{3} \\\\\text{OR}\\\\ 7-4x=0 \\\\ -4x=-7 \\\\ x=\dfrac{-7}{-4} \\\\ x=\dfrac{7}{4} .\end{array} Hence, the solutions are $ x=\left\{ \dfrac{7}{4},\dfrac{5}{3} \right\} .$
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