5x^(1/6)-2x^(1/3) -2 =0

simplify

Solve for the value of x.

Solution:

y = x^(1/6)

5y -2y^2 -2=0

(2y-1)(y-2)=0

y = 2, 1/2

So

x = y^6

x = 64 or 1/64