Solve the Equation $$4 x ^ { 2 } + 5 x + 1 = 0$$

Solve the equation.
- $$4 x ^ { 2 } + 5 x + 1 = 0$$

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