In algebra there is a method for factoring polynomials called "guess and check." You figure out the factors A and CĀ Ā and mix and match them until you find something equal to the original problem. It's a good analogy for this feeling, these moments, where a direct answer escapes me, or you. So I am left with no other method, besides "guess and check." Sometimes the first few guesses find the answers, sometimes you have to try it twenty different ways.
I am exhausted by this constant guess, of what A and C equal. An onerous search for the variables to solve the equation of making you happy.