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: 84

Answer

$x = 2, -9$

Work Step by Step

1) Expand and simplify to solve for $x$ $x(x+9)=2(x+9)$ $x(x+9) - 2(x+9) = 0$ $x^{2} + 9x - 2x -18 = 0$ $x^{2}+7x-18=0\\\\ (x+9)(x-2)=0$ 2) Set each factor equal to zero and solve: $x + 9 = 0$ $x = -9$ $x-2=0 \\\\x=2$
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