College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 1 - Section 1.2 - Quadratic Equations - 1.2 Assess Your Understanding - Page 101: 12


The solution set is $\left\{0, -4\right\}$

Work Step by Step

Factor out the GCF, which is $x$, to obtain: $x(x+4)=0$ Use the Zero-Product Property by equating each factor to zero and then solving each equation to obtain: $\begin{array}{ccc} &x=0 &\text{ or } &x+4=0 \\&x=0 &\text{ or } &x=-4 \end{array}$ Thus, the solution set is $\left\{0, -4\right\}$.
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