Decide What Values of the Variable Cannot Possibly Be Solutions $$\frac { - 5 x ^ { 2 } - 6 } { x - 4 } = \frac { - 15 x } { x - 4 } + 6$$

Multiple Choice

Decide what values of the variable cannot possibly be solutions for the equation.
- $$\frac { - 5 x ^ { 2 } - 6 } { x - 4 } = \frac { - 15 x } { x - 4 } + 6$$

A) $\left\{ - \frac { 6 } { 5 } , 3 \right\}$

B) $\left\{ \frac { 6 } { 5 } , - 3 \right\}$

C) $\{ 3 \}$

D) $\left\{ \frac { - 5 \pm \sqrt { 105 } } { 3 } \right\}$