Elementary Algebra

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

Chapter 6 - Factoring, Solving Equations, and Problem Solving - 6.1 - Factoring by Using the Distributive Property - Problem Set 6.1 - Page 243: 82

Answer

$x = \frac{2}{3}, 7$

Work Step by Step

There are two ways to solve for $x$: 1) Expand and simplify $x(3x -2) - 7(3x-2) = 0$ $3x^{2} - 2x - 21x + 14 = 0$ $3x^{2}-23x+14$ 2) Simply solve for $x$ $(x-7)(3x-2) = 0$ $x = \frac{2}{3}, 7$
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