[MATH] Method to reduce both sides of an equation?

[Rosencrantz]

I'd be more than happy to help you out in this, but I can't seem to understand what you're asking, bro : (

From what I'm understanding, the variables b and d correspond to two different sets, while a and c are both changeable numbers. You have ab + cd = X, and you want to find ways to reduce b and d individually in order to reduce X. The main problem with working in sets is that sets tend to not correspond to equations, but I could easily be missing something here.

If you could post your math problem exactly onto here, I can try and work it out for you~