Answer
$x=-1$ or $x=-7$.
Work Step by Step
LCD$=x$, thus multiplying both sides by the LCD: $x(x+\frac{7}{x})=x(-8)\\x^2+8x+7=0\\x^2+x+7x+7=0\\x(x+1)+7(x+1)=0\\(x+1)(x+7)=0$
Thus $x=-1$ or $x=-7$.
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 6 - Section 6.6 - Rational Equations - Exercise Set - Page 462: 19
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