work out vs figure out

work out and figure out both are verbs.

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

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

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

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

work out (verb)	figure out (verb)
do physical exercise	find the solution to (a problem or question) or understand the meaning of
give a workout to
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