Decide What Values of the Variable Cannot Possibly Be Solutions $$8 x ^ { - 2 / 5 } + 14 x ^ { - 1 / 5 } + 6 = 0$$

Multiple Choice

Decide what values of the variable cannot possibly be solutions for the equation.
- $$8 x ^ { - 2 / 5 } + 14 x ^ { - 1 / 5 } + 6 = 0$$

A) $\left\{ - 1 , - \frac { 4 } { 3 } \right\}$
B) $\left\{ - 1 , - \frac { 1024 } { 243 } \right\}$
C) $\{ 2,3 \}$
D) $\left\{ 1 , \frac { 1024 } { 243 } \right\}$