The discussion revolves around solving Poisson's equation using the method of images, particularly in scenarios involving a constant potential plane. Participants highlight that the method of images leverages the uniqueness theorem, allowing for the construction of solutions that satisfy specified boundary conditions. There is confusion about whether to apply the method of images or solve the equation directly, with emphasis on maintaining boundary conditions for uniqueness. The conversation also touches on the arbitrary nature of potential values, noting that while constants like V_0 are significant for the problem's context, they do not affect charge density calculations. Ultimately, the method of images is suggested as a practical approach to finding solutions while adhering to the problem's requirements.