Can this be factored:

6/5x^1/5 - 12/5x^-4/5

I am trying to find the values for X which will make this equal to zero. My factoring looks like this but not sure it is right

6/5x^1/5(1-2x^-1)

so I get X= 0 and X=2

I wouldn't factor this. Instead, type it into your graphing calculator. Solutions, zeroes, roots, and x-intercepts all mean the same thing. Look for where your graph crosses the x-axis.