If I have a modulo operation like this:
$$(a ( b+cd ) ) \equiv 0 \pmod{e},$$
How can I derive $c$ in term of other variables present here. I.e. What function $f$ can be used such that:
$$c = f (a,b,d,e) $$
And what is the implication of a mod operation's result being $0$ in terms of simplifying the equation.
Thank you very much for your time.