Wow. Ummmm... Let me break this down a bit. You've got the function:

on the interval (0, 1).

Are you trying to find a solution for x?

If so then try moving everything to the left:

NOW plug in x = 0 and x = 1:

Because the first is positive and the second negative we know that it (the LHS) passes through 0 at some point in the interval.

-Dan