This equation is a trigonometric equation.

To solve this equation, we can first simplify the term involving cotangent:

ctg(π/2 - 4x) = cos(π/2 - 4x) / sin(π/2 - 4x)ctg(π/2 - 4x) = sin(4x) / cos(4x)

Now, the equation becomes:

3tg^2 + 4x - 2(sin(4x) / cos(4x)) = 1

From here, you can simplify further by substituting tan^2x = sec^2x - 1 and secx = 1 / cosx:

3(sec^2(4x) - 1) - 2sin(4x) = 1

3sec^2(4x) - 3 - 2sin(4x) = 1

3sec^2(4x) - 2sin(4x) = 4

You can continue to simplify using trigonometric identities or attempt to solve for x if the equation is factorable.