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 5 - Polynomials and Factoring - 5.7 Solving Quadratic Equations by Factoring - 5.7 Exercise Set - Page 353: 79

Answer

$$a=4,\:a=-5$$

Work Step by Step

In order to solve the equation, we first simplify both sides of the equation. Next, we isolate the variable. Doing this, we find: $$ 9a+a^2=8a+20 \\ a^2+a-20=0 \\ (a+5)(a-4)=0 \\ a=4,\:a=-5$$
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