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

Multiple Choice

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 $0$