Answer
$x=-\frac{9}{5}$
Work Step by Step
$x(x+1)=(x+3)^{2}\displaystyle$
We distribute:
$x^{2}+x=x^{2}+6x+9$
And simplify:
$x=6x+9$
And combine $x$ terms:
$-5x=9$
And solve for $x$:
$x=-\frac{9}{5}$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter P, Prerequisites - Section P.8 - Solving Basic Equations - P.8 Exercises - Page 60: 38
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