Intermediate Algebra for College Students (7th Edition)

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: 20


$x=-1$ or $x=-6$.

Work Step by Step

LCD$=x$, thus multiplying both sides by the LCD: $x(x+\frac{6}{x})=x(-7)\\x^2+7x+6=0\\x^2+x+6x+6=0\\x(x+1)+6(x+1)=0\\(x+1)(x+6)=0$ Thus $x=-1$ or $x=-6$.
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