Decide What Values of the Variable Cannot Possibly Be Solutions $$( 4 x - 7 ) ^ { 2 } + 6 ( 4 x - 7 ) + 8 = 0$$

Multiple Choice

Decide what values of the variable cannot possibly be solutions for the equation.
- $$( 4 x - 7 ) ^ { 2 } + 6 ( 4 x - 7 ) + 8 = 0$$

A) $\left\{ - \frac { 9 } { 7 } , \frac { 11 } { 4 } \right\}$

B) $\left\{ \frac { 5 } { 4 } , - \frac { 3 } { 4 } \right\}$

C) $\left\{ \frac { 9 } { 4 } , - \frac { 11 } { 4 } \right\}$

D) $\left\{ \frac { 5 } { 4 } , \frac { 3 } { 4 } \right\}$