Solve the Equation Exactly in the Complex Number System $$x ^ { 3 } + 7 x ^ { 2 } + 25 x + 175 = 0$$

Multiple Choice

Solve the equation exactly in the complex number system.
- $$x ^ { 3 } + 7 x ^ { 2 } + 25 x + 175 = 0$$

A) $x = - 7 , x = \pm 5 i$
B) $x = - 5 i , x = \pm 7 i$
C) $x = - 7 i , x = \pm 5 i$
D) $x = - 5 , x = \pm 7 i$