Answer
$x=-\frac{3}{2}$ or $x=-2$
Work Step by Step
$2x^2+7x=-6$
$x^2+\frac{7}{2}x=-3$
$(x+\frac{7}{4})^2=\frac{1}{16}$
$x+\frac{7}{4}=\pm \frac{1}{16}$
$x+\frac{7}{4}= \frac{1}{16}$ or $x+\frac{7}{4}=- \frac{1}{16}$
$x=-\frac{3}{2}$ or $x=-2$
Algebra 1: Common Core (15th Edition)
by Charles, Randall I.
Published by
Prentice Hall
ISBN 10:
0133281140
ISBN 13:
978-0-13328-114-9
Chapter 9 - Quadratic Functions and Equations - Chapter Review - Page 605: 32
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