solvable

the word 'solvable' is built upon the core latin root 'solv-', which originates from the proto-indo-european root leu-, meaning 'to loosen, divide, cut apart'. this root gave rise to the latin 'solvere', carrying the literal sense of untying or dissolving a physical bond. when combined with the suffix '-able', which denotes capability, the term's meaning evolved from the concrete act of loosening to the abstract capacity for a problem to be 'untied' or resolved. thus, a solvable puzzle is one capable of having its complexities 'loosened' into a clear answer.

Structure: solv (to loosen, to free) + able (capable of being) solv is from the latin verb 'solvere', meaning 'to loosen, release, dissolve'. able is an english suffix of latin origin ('-abilis'), forming adjectives meaning 'capable of, fit for'.