Decide What Values of the Variable Cannot Possibly Be Solutions $$( 7 - 9 x ) ^ { 1 / 3 } - ( 8 + 3 x ) ^ { 1 / 3 } = 0$$

Multiple Choice

Decide what values of the variable cannot possibly be solutions for the equation.
- $$( 7 - 9 x ) ^ { 1 / 3 } - ( 8 + 3 x ) ^ { 1 / 3 } = 0$$

A) $\left\{ \frac { 1 } { 12 } \right\}$
B) $\varnothing$
C) $\left\{ - \frac { 1 } { 12 } \right\}$
D) $\{ - 12 \}$