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: 70

Answer

$x = 0, -\frac{2}{5}$

Work Step by Step

We factor the expression, and then we set each factor equal to zero: $5x^{2} = -2x$ $5x^{2} + 2x = 0$ $x(5x + 2) = 0$ First Factor: $x = 0$ Second Factor: $5x + 2 = 0$ $5x = -2$ $x = -\frac{2}{5}$
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