Solve the Exponential Equation Below Algebraically $$e ^ { - x ^ { 2 } } = e ^ { 2 x ^ { 2 } - 9 x }$$

Multiple Choice

Solve the exponential equation below algebraically.
$$e ^ { - x ^ { 2 } } = e ^ { 2 x ^ { 2 } - 9 x }$$

A) 0 and 3
B) $- 2$ and 0
C) $- 2$ and 3
D) $- 6$ and 3
E) $- 6$ and 0