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: 76

Answer

$$x=-\frac{1}{4},\:x=-\frac{1}{5},\:x=\frac{2}{3}$$

Work Step by Step

To solve the equation, we first factor the equation. Next, we set each of the factors equal to zero. Doing this, we find: $$\left(4x+1\right)\left(5x+1\right)\left(3x-2\right) \\ x=-\frac{1}{4},\:x=-\frac{1}{5},\:x=\frac{2}{3}$$
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