Solve the equation below algebraically.
$- x ^ { 2 } e ^ { 2 x } - 7 x e ^ { 2 x } = 0$
A) $- 7$ and $- 6$
B) $- 6$ and 6
C) $- 7$ and 6
D) 0 and 6
E) $- 7$ and 0

Name: Solve the equation below algebraically. $- x ^ { 2 } e ^ { 2 x } - 7 x e ^ { 2 x } = 0$ A) $- 7$ and $- 6$ B) $- 6$ and 6 C) $- 7$ and 6 D) 0 and 6 E) $- 7$ and 0
Brand: Quizplus
Rating: 4.8 (33 reviews)

Question

Quizplus · Accepted Answer

First, factor out the common term $e^{2x}$ and $x$, giving $x e^{2x}(-x - 7) = 0$. Setting each factor equal to zero gives the solutions $x = 0$ and $x = -7$.

Solve the Equation Below Algebraically −x2e2x−7xe2x=0- x ^ { 2 } e ^ { 2 x } - 7 x e ^ { 2 x } = 0−x2e2x−7xe2x=0

Solve the Equation Below Algebraically $- x ^ { 2 } e ^ { 2 x } - 7 x e ^ { 2 x } = 0$