solve vs work out

solve and work out both are verbs.

Word	Noun	Adjective	Verb	Adverb
solve	No	No	Yes	No
work out	No	No	Yes	No

As verbs, solve and work out are synonyms defined as:

solve and work out: find the solution to (a problem or question) or understand the meaning of

Other synonyms of solve include figure out, lick, puzzle out, work.

As verbs, work out is a hypernym of solve; that is, work out is a word with a broader meaning than solve:

Other hypernyms of solve include calculate, cipher, compute, cypher, figure, reckon.

solve (verb)	work out (verb)
find the solution to (a problem or question) or understand the meaning of	do physical exercise
find the solution	give a workout to
settle, as of a debt	come up with
	work out in detail
	find the solution to (a problem or question) or understand the meaning of
	make a mathematical calculation or computation
	be calculated
	happen in a certain way, leading to, producing, or resulting in a certain outcome, often well