What it means
て済む describes a situation being resolved or completed by carrying out the preceding action, with no need for anything more serious or extensive. It often emphasizes that a simple action is sufficient to deal with a problem or requirement. The preceding verb must be in the te-form, and 済む changes to 済みます in polite speech.
How to use it
Verb (て-form)済みます
この程度のミスなら、担当者に一言謝って済みます。
For a mistake of this degree, a brief apology to the person in charge is enough to settle the matter.
Verb (て-form)済む
この程度のミスなら、担当者に一言謝って済む。
For a mistake of this degree, a brief apology to the person in charge is enough to settle the matter.