solve (v.)

late 14c., "to disperse, dissipate, loosen," from Latin solvere "to loosen, dissolve; untie, release, detach; depart; unlock; scatter; dismiss; accomplish, fulfill; explain; remove," from PIE *se-lu-, from reflexive pronoun *s(w)e- (see idiom) + root *leu- "to loosen, divide, cut apart." The meaning "explain, answer" is attested from 1530s; for sense evolution, see solution. Mathematical use is attested from 1737. Related: Solved; solving.

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Definitions of solve from WordNet

solve (v.)
find the solution to (a problem or question) or understand the meaning of;
did you solve the problem?
Synonyms: work out / figure out / puzzle out / lick / work
solve (v.)
find the solution;
solve an equation
solve for x
Synonyms: resolve
solve (v.)
settle, as of a debt;
solve an old debt
Synonyms: clear