Solve the Polynomial Equation by Factoring and Then Using the Zero

Multiple Choice

Solve the polynomial equation by factoring and then using the zero product principle.
- $$3 x - 4 = 12 x ^ { 3 } - 16 x ^ { 2 }$$

A) $\left\{ - \frac { 1 } { 2 } , \frac { 1 } { 2 } , \frac { 4 } { 3 } \right\}$
B) $\left\{ 0 , \frac { 4 } { 3 } \right\}$
C) $\left\{ - \frac { 1 } { 4 } , \frac { 1 } { 4 } , \frac { 4 } { 3 } \right\}$
D) $\left\{ - \frac { 1 } { 2 } , \frac { 1 } { 2 } , \frac { 3 } { 4 } \right\}$