"pertaining to lysis," 1889, from Greek lytikos "able to loose, loosing," from lytos "loosed," verbal adjective of lyein "to unfasten, loose, loosen, untie" (from PIE root *leu- "to loosen, divide, cut apart"). Related: Lytically.
late 14c., "to disperse, dissipate, loosen," from Latin solvere "to loosen, dissolve; untie, release, detach; depart; unlock; scatter; dismiss; accomplish, fulfill; explain; remove," from PIE *se-lu-, from reflexive pronoun *s(w)e- (see idiom) + root *leu- "to loosen, divide, cut apart." The meaning "explain, answer" is attested from 1530s; for sense evolution, see solution. Mathematical use is attested from 1737. Related: Solved; solving.
"remission, forgiveness," c. 1200, from Old French absolucion, earlier assolucion, from Latin absolutionem (nominative absolutio) "completion, acquittal," noun of action from past-participle stem of absolvere "set free, loosen, acquit," from ab "off, away from" (see ab-) + solvere "to loosen, dissolve; untie, release; dismiss," from PIE *se-lu-, from reflexive pronoun *s(w)e- (see idiom) + root *leu- "to loosen, divide, cut apart." Originally of sins; in general use from c. 1400.