Solve the Equation in the Real Number System $2 x ^ { 3 } - x ^ { 2 } + 2 x - 1 = 0$

Multiple Choice

Solve the equation in the real number system.
- $2 x ^ { 3 } - x ^ { 2 } + 2 x - 1 = 0$

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