To solve the equation cos(2x - π/4) = 0, we can use the fact that the cosine function is equal to zero at certain angles.

First, let's find the general solution for 2x - π/4 = π/2 + nπ, where n is an integer.

Adding π/4 to both sides, we have 2x = π/2 + nπ + π/4.

Simplifying, we get 2x = (2π + 1)/4 + nπ.

Dividing both sides by 2, we have x = (π + 1)/8 + nπ/2.

So, the general solution for the equation cos(2x - π/4) = 0 is x = (π + 1)/8 + nπ/2, where n is an integer.