The equation 2^x + 2/2^x = 3 can be simplified by substituting y = 2^x, leading to the quadratic equation y^2 - 3y + 2 = 0. This factors to (y - 2)(y - 1) = 0, giving solutions y = 2 and y = 1. Consequently, the corresponding values for x are x = 1 and x = 0. Both solutions satisfy the original equation, confirming their validity. The discussion emphasizes the importance of showing prior attempts when seeking help with mathematical problems.