Etymology
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insolvable (adj.)

1650s, from French insolvable (15c.), from in- "not, opposite of" (from PIE root *en "in") + solvable (see solvable).

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Definitions of insolvable

insolvable (adj.)
not easily solved; "public finance...had long presented problems unsolvable or at least unsolved"- C.L.Jones;
an apparantly insolvable problem
Synonyms: unsoluble / unsolvable / unresolvable
From wordnet.princeton.edu