Solve the Radical Equation, and Check All Proposed Solutions $$4 x ^ { 3 } + 3 x ^ { 2 } = 36 x + 27$$

Multiple Choice

Solve the radical equation, and check all proposed solutions.
- $$4 x ^ { 3 } + 3 x ^ { 2 } = 36 x + 27$$

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