Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 6 - Factoring, Solving Equations, and Problem Solving - Chapter 6 Test - Page 275: 17



Work Step by Step

Since $(x-5)$ is common to both the terms of the equation, we take it out as a common factor: $9(x-5)-x(x-5)=0$ $(x-5)(9-x)=0$ Now, we equate all of the factors to zero to solve the equation: $(x-5)(9-x)=0$ $x-5=0$ or $9-x=0$ $x=5$ or $x=9$ Therefore, the solution set is {$5,9$}.
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