To solve the equation x^2 - 1/2x - 3/16 = 0, it is suggested to eliminate the fractions by multiplying both sides by the lowest common denominator, which is 16x. This will simplify the equation and lead to a cubic equation. The discussion seeks clarification on the "Square Root Method" mentioned, as it is not clearly defined in the context of solving this equation. Understanding this method could provide additional insights into solving the problem. The focus remains on effectively managing fractions to facilitate finding the solution.