Solve the Radical Equation, and Check All Proposed Solutions $$10 x ^ { 3 } + 70 x ^ { 2 } + 120 x = 0$$

Multiple Choice

Solve the radical equation, and check all proposed solutions.
- $$10 x ^ { 3 } + 70 x ^ { 2 } + 120 x = 0$$

A) $\{ 0 , - 4 , - 3 \}$
B) $\{ - 4 , - 3 \}$
C) $\{ 0,4,3 \}$
D) $\left\{ - \frac { 1 } { 4 } , - 3 \right\}$