Problem resolved to equation but how do I proceed?

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The discussion centers on solving the equation 1.6x0.65 - 1.4x0.2 = 0.2, which arises from a physical problem in semiconductors. The user seeks an algebraic solution for x, noting that while x appears to be 1 by inspection, it is confirmed that x must be less than 1. The consensus is that resolving this equation algebraically is unlikely, as numerical methods or graphical solutions are typically required for such equations.

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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!
 
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I doubt there is any way to do that algebraically.
 

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