To solve the equation cos(x + pi)/4 = 1, we can start by isolating the cosine term:

cos(x + pi) = 4

Since the cosine function has a period of 2π, we can simplify this equation by noting that cos(x + π) = -cos(x). Therefore, we have:

-cos(x) = 4

Now, multiply both sides by -1 to get cos(x) on the left side:

cos(x) = -4

However, the cosine function is bounded between -1 and 1, so there is no solution to this equation. Therefore, the answer is no solution.