solve
v.-
1 to find an answer (v.) A2 Elementaryto find the correct answer to a problem, a puzzle, or a difficult situation.
to find a solution to a problem, puzzle, or difficult situation through reasoning or investigation.
ExampleIt took me nearly an hour to solve the crossword puzzle in the newspaper.
ExampleThe engineering team worked through the night to solve the technical glitch that had halted production for three days.
UsageTransitive verb taking a direct object representing the problem or puzzle.
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2 to explain a mystery (v.) B1 Intermediateto find out who committed a crime or why something mysterious happened.
to discover the perpetrator, motive, or explanation for a crime or mystery.
ExampleThe police finally solved the case after finding new evidence in the basement.
ExampleDetectives spent months reviewing forensic data before they could finally solve the mystery of the missing inheritance.
UsageCommonly collocates with 'crime', 'mystery', 'case', or 'murder'.
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3 mathematics (v.) B1 Intermediate Technical Mathto find the value of a number in a math problem.
to find the values of variables that satisfy a system of equations or inequalities.
ExampleYou need to solve for x to find the length of the triangle's side.
ExampleStudents were asked to solve the quadratic equation using both the formula and the completing-the-square method.
UsageOften used with the preposition 'for' when identifying a specific variable.
From Middle English solven, from Latin solvō.