solve

/sɒlv/
find an answer to

She solved the math problem in five minutes.

She successfully found the correct answer to the math problem quickly.


general

To find a solution to a problem or question.

The detective solved the mystery after weeks of investigation.

The detective discovered the correct explanation for the mystery after thorough investigation.

Engineers solved the technical issue with the new software.

Engineers successfully addressed and resolved the technical problem in the software.

Often used with direct objects like 'problem,' 'puzzle,' 'equation,' or 'issue.'

mathematics

To find the correct answer to a mathematical equation or puzzle.

Can you solve this quadratic equation for me?

Can you find the correct values of x that satisfy this quadratic equation?

Common in academic and technical contexts involving calculations.

Collocations

solve a problemfind a solution to a problemsolve a puzzlefind the correct arrangement or answer to a puzzlesolve an equationfind the value(s) of the variable(s) that satisfy the equation

Related Phrases

solve for xphrase
find the value of the variable x in an equation

Pro Tip

Transitive verb

Always use 'solve' with a direct object (e.g., 'solve the riddle'). Do not say 'solve to the riddle.'

Gold Rule

Direct object required

The verb 'solve' must always have a direct object representing what is being addressed (e.g., 'solve the crime' not 'solve crime').

Word Origin

From Latin 'solvere' meaning 'to loosen, release, or dissolve,' which also gave rise to 'solution' and 'dissolve.' The sense of 'finding an answer' emerged in the late 15th century.

Usage Notes

Used transitively with a direct object representing the problem or question. Avoid using 'solve' for emotional or abstract issues unless metaphorical (e.g., 'solve your problems' can imply practical solutions).

Word Breakdown

solv-
loosen or release (from Latin 'solvere')
root
English Dictionary