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: 69

Answer

$x = 0, -\frac{3}{7}$

Work Step by Step

We factor the expression, and then we set each factor equal to zero: $7x^{2} = -3x$ $7x^{2} + 3x = 0$ $x(7x + 3) = 0$ First Factor: $x = 0$ Second Factor: $7x + 3 = 0$ $7x = -3$ $x = -\frac{3}{7}$
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