solvable.
Capable of being solved.
Meaning & usage
Capable of being solved.
a solvable problem
Capable of being solved. various senses relating to terminating sequences or computability: Having terminating derived series; see Solvable group on Wikipedia.Wikipedia
Capable of being solved. various senses relating to terminating sequences or computability: Having a Galois group which is solvable.
Capable of being solved. various senses relating to terminating sequences or computability: Having terminating derived series (this is a distinct notion from the derived series of a group); see Solvable Lie algebra on Wikipedia.Wikipedia
Capable of being solved. Such that the set of inputs for which the answer is yes is recursively enumerable.
Capable of being dissolved or liquefied.
Able to pay one's debts.
Capable of being paid and discharged.
solvable obligations
Where this word comes from
From solve + -able. Piecewise doublet of soluble. More information The mathematical senses derive from Galois theory: Galois discovered that one could determine whether a given polynomial could be solved by radicals by studying the properties of a particular group attached to a particular field extension deriving from the polynomial in question; if the group satisfies some conditions then polynomial can be solved by radicals. Any group meeting these conditions — whether or not it arises from this process — is thus called solvable, as is any field extension giving rise to such a group. The Lie-theoretic sense is by analogy, the study of Lie algebras deriving much of its terminology from group theory. In regular use by the late 19th century.
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Last enriched 2026-09-10. Definitions are in English. Romanizations are shown when supplied by the source; syllable estimates are omitted for unsupported scripts.