early 15c., "a breaking into parts," from Latin resolutionem (nominative resolutio) "process of reducing things into simpler forms," from past participle stem of resolvere "loosen" (see resolve). Originally sense of "solving" (as of mathematical problems) first recorded 1540s, that of "holding firmly" (in resolute) 1530s, and that of "decision or expression of a meeting" is from c.1600.