To solve the equation (3^x) - (3^-x) = 4, start by multiplying through by 3^x to eliminate the negative exponent. This leads to a quadratic equation by substituting t = 3^x. After solving the quadratic, remember to substitute back to find the value of x. Participants emphasize the importance of showing initial attempts to receive better guidance. Overall, the discussion highlights a collaborative effort to assist in solving the equation effectively.