What does solvable mean?
The adjective solvable describes a problem, mystery, equation, or situation for which a solution can be found. It emphasizes that the difficulty is within reach of human reasoning and can be systematically untangled. A solvable problem is not necessarily easy; the word distinguishes it from one that is impossible, contradictory, or beyond current knowledge. In academic and technical contexts, solvable can refer to mathematical equations, scientific questions, legal disputes, and practical difficulties. The related noun solvability describes the quality of being capable of solution. Although solvable is often used with problems and mysteries, it can also modify cases, puzzles, questions, and conjectures. Its Latin roots, shared with words such as solve, solution, and soluble, evoke the idea of loosening or untying a knot, which neatly captures the process of working through a difficult problem.
adjectiveCapable of being solved or resolved. Used especially of problems, equations, mysteries, and other situations whose solution can be found.
- Capable of being solved or resolved.
"The detective was confident that the case was solvable, even if the evidence was initially confusing."
"The team found a solvable version of the equation that was easier to verify."
"Whether the mystery was truly solvable remained unclear after the first day of investigation."
Solvable comes from the Latin solvere, meaning “to loosen” or “untie,” so a solvable problem is one whose tangled threads can be unraveled.
Reviewed by Deb Chak, Editor. AI-assisted content curated by RJS Tech Solutions LLP.
Where does solvable come from?
The word derives from the Latin verb solvere, meaning “to loosen,” “unbind,” or “solve.” Its English form developed through the related verb solve and the suffix -able, producing an adjective meaning “able to be solved.” Related English words such as solution, soluble, and solvent preserve the same Latin root, while resoluble and irresolvable show its continuing use in describing what can or cannot be resolved.
Related word forms
How solvable is actually used
Usually formal and precise, particularly common in technical, academic, and problem-solving contexts. It is less typical in casual speech than expressions such as “can be worked out.”
Easily confused with solvable
A solvable problem can be worked out or resolved, whereas a soluble substance can dissolve in a liquid.