Solve the Quadratic Equation by Completing the Square and Applying $$( 3 w + 2 ) ( w - 1 ) = 5$$

Multiple Choice

Solve the quadratic equation by completing the square and applying the square root property. $$( 3 w + 2 ) ( w - 1 ) = 5$$

A) $\left\{ \frac { 1 } { 6 } - \frac { \sqrt { 83 } } { 6 } , \frac { 1 } { 6 } + \frac { \sqrt { \sqrt { 83 } } } { 6 } \right\}$
B) $\left\{ \frac { 1 } { 6 } - \frac { i \sqrt { 83 } } { 6 } , \frac { 1 } { 6 } + \frac { i \sqrt { \sqrt { 83 } } } { 6 } \right\}$
C) $\left\{ \frac { 1 } { 6 } - \frac { \sqrt { 85 } } { 6 } , \frac { 1 } { 6 } + \frac { \sqrt { 85 } } { 6 } \right\}$
D) $\left\{ - \frac { 2 } { 3 } , 1 \right\}$