Decide What Values of the Variable Cannot Possibly Be Solutions $$\sqrt [ 3 ] { 4 + 6 x } - \sqrt [ 3 ] { 1 - 8 x } = 0$$

Multiple Choice

Decide what values of the variable cannot possibly be solutions for the equation.
- $$\sqrt [ 3 ] { 4 + 6 x } - \sqrt [ 3 ] { 1 - 8 x } = 0$$

A) $\left\{ - \frac { 14 } { 3 } \right\}$

B) $\left\{ \frac { 3 } { 14 } \right\}$

C) $\left\{ \frac { 14 } { 3 } \right\}$

D) $\left\{ - \frac { 3 } { 14 } \right\}$