Solve the Equation Below Algebraically $$- 2 x ^ { 2 } e ^ { 4 x } - 16 x e ^ { 4 x } = 0$$

Multiple Choice

Solve the equation below algebraically.
$$- 2 x ^ { 2 } e ^ { 4 x } - 16 x e ^ { 4 x } = 0$$

A) $- 8$ and 4
B) 4 and 5
C) $- 8$ and 5
D) 0 and 5
E) $- 8$ and 0