Solve by Completing the Square $$3 x ^ { 2 } - 7 x - 5 = x ^ { 2 } + 2 x - x ( x + 1 ) + 1$$

Multiple Choice

Solve by completing the square.
- $$3 x ^ { 2 } - 7 x - 5 = x ^ { 2 } + 2 x - x ( x + 1 ) + 1$$

A) $\frac { 4 \pm \sqrt { 34 } } { 3 }$
B) $\frac { 6 \pm \sqrt { 34 } } { 3 }$
C) $\frac { 5 \pm \sqrt { 23 } } { 3 }$
D) $\frac { 4 \pm \sqrt { 31 } } { 3 }$