Decide What Values of the Variable Cannot Possibly Be Solutions $$\frac { x } { x - 8 } - \frac { 8 } { x + 8 } = \frac { 128 } { x ^ { 2 } - 64 }$$

Multiple Choice

Decide what values of the variable cannot possibly be solutions for the equation.
- $$\frac { x } { x - 8 } - \frac { 8 } { x + 8 } = \frac { 128 } { x ^ { 2 } - 64 }$$

A) $\varnothing$

B) $\left\{ \frac { 1 } { 8 } \right\}$

C) $\{ \pm 8 \}$

D) $\{ \pm 8 i \}$