[verb て-form] + 済むことではない [verb て-form] + 済む問題ではない / 済む話ではない [noun] + で済むことではない
て済むことではない turns down an easy fix: "~ing won't settle this", "this isn't something you can fix by ~ing". The verb in front is in the て-form, and it is usually the remedy someone is offering – apologising, paying, giving money back, crying.
すむ済む is "be settled", so the phrase reads "it is not a thing that is settled by ~ing". The negative goes on the end, not on 済む.It is a rebuke, said in disputes, scandals and serious mistakes, and in speech ではない becomes じゃない. A second sentence often says why, or what should happen instead.
A noun or a quoted excuse takes で: で済むことではない. ではすまない済まない says much the same.