1. Explained or answered
   "mysteries solved and unsolved";
   - resolved

1. Find the solution to (a problem or question) or understand the meaning of
   "did you solve the problem?";
   - work out, figure out, puzzle out, lick [N. Amer, informal], work, suss [Brit, informal], suss out [Brit, informal], unriddle
    
2. Find a solution by calculation, algebra or detailed analysis
   "solve for x"; "solve an equation";
   - resolve
    
3. Settle, as of a debt
   "solve an old debt";
   - clear

See also: work out

Type of: calculate, cipher, compute, cypher, determine, figure [N. Amer], reckon, settle, square off, square up, understand, work out

Encyclopedia: Solved