Problem resolved to equation but how do I proceed?

[Obelisk]

1. This is originally a physical problem in semiconductors



2. Problem has been resolved to one equation with decimal powers



3. 1.6x^0.65 - 1.4x^0.2 = 0.2

By inspection, x could easily be 1 but that is not the solution as the value for x is less than 1.

How can I resolve this equation further to obtain x without using numerical methods / graphical solution??

Thanks for your help!

 

[HallsofIvy]

I doubt there is any way to do that algebraically.