Answer
$x=0$
$x=-1$
Work Step by Step
$2x^2e^{2x}+2xe^{2x}=0$
$2xe^{2x}(x+1)=0$
Since $e^{2x}\gt0$ for any $x$ in the domain of $e^{2x}$
$2xe^{2x}=0$
$x=0$
$x+1=0$
$x=-1$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 5 - 5.4 - Exponential and Logarithmic Equations - 5.4 Exercises - Page 396: 73
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