#### Answer

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

Chegg costs money, GradeSaver solutions are free!

Published by
Pearson

ISBN 10:
0-13417-894-7

ISBN 13:
978-0-13417-894-3

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

You can help us out by revising, improving and updating this answer.

Update this answerAfter you claim an answer you’ll have **24 hours** to send in a draft. An editor
will review the submission and either publish your submission or provide feedback.