solve
v.v. to find the right answer to a problem or a puzzle. You use this when you figure out how to fix a difficult situation.
v. to find a solution, explanation, or answer for a problem, mystery, or mathematical equation. Transitive — requires a direct object representing the challenge being addressed.
I need to solve this math problem before class.
The detective worked for months to solve the mystery of the missing painting.
Engineers are currently developing new software to solve the complex logistical issues that arise during large-scale urban construction projects.
From Middle English solven, from Latin solvō.
The verb is transitive and takes a direct object.
solve to the problemsolve the problemSolve is a transitive verb and does not take the preposition 'to' before its object.