(verb)
find the solution to (a problem or question) or understand the meaning of; "did you solve the problem?"; "Work out your problems with the boss"; "this unpleasant situation isn't going to work itself out"; "did you get it?"; "Did you get my meaning?"; "He could not work the math problem"

find the solution; "solve an equation"; "solve for x"

settle, as of a debt; "clear a debt"; "solve an old debt"