Hello helpful math whizzes,

I'm working through a game theory problem and am trying to solve this equation for x:

(x^a)((1-x)^b)-2c = 0

I've tried using natural logs to manage the exponents, but I keep running into dead ends. Is it possible to reduce this equation down such that x is all by its lonesome on one side?

Also, this is my first post here, so I apologize if I've placed this in the wrong subforum.