I know the title is a badly formulated, but I have an example, that should show my Problem better:
${y^2\over(2c+2)} = {y^2\over 2c} * x$
Through Brute-Force I found out that x should for example be: $x ={1\over(c+1)*c^{-1}}$
What I want to know is, how (with which strategy) I can solve an equation like this properly?