The equation 3x + cos(2x) = c cannot be solved analytically for x in terms of the constant c. Participants emphasize that while a closed-form solution is not possible, alternative methods exist to find x. Clarification on the context of the homework problem is needed to provide appropriate guidance. The forum encourages users to engage with their learning rather than seek direct answers. Overall, the discussion highlights the importance of understanding the problem's requirements before attempting to solve it.