X4=(4x-5)2

To solve this equation, we can start by expanding the right side of the equation:

x^4 = (4x - 5)^2

Expanding the square on the right side, we get:

x^4 = 16x^2 - 40x + 25

Now, rearrange the equation to bring all terms to one side:

x^4 - 16x^2 + 40x - 25 = 0

This is a quartic equation, which can be a bit more challenging to solve. One possible approach is to factorize it if possible, or use numerical methods such as graphing or using a calculator that can solve quartic equations.

Another approach is to use synthetic division or long division to find the roots of the equation.