Solve the Equation in the Real Number System $3 x ^ { 4 } - 29 x ^ { 3 } + 111 x ^ { 2 } - 179 x + 78 = 0$

Multiple Choice

Solve the equation in the real number system.
- $3 x ^ { 4 } - 29 x ^ { 3 } + 111 x ^ { 2 } - 179 x + 78 = 0$

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