Answer
$x=-1$, $x=-2$ or $x=2$.
Work Step by Step
$x^3+x^2=4x+4\\x^3+x^2-4x-4=0\\x^2(x+1)-4(x+1)=0\\(x+1)(x^2-4)=0\\(x+1)(x+2)(x-2)=0$
Thus $x=-1$, $x=-2$ or $x=2$.
College Algebra (6th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-32178-228-3
ISBN 13:
978-0-32178-228-1
Chapter 3 - Polynomial and Rational Functions - Exercise Set 3.5 - Page 410: 135
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