The word unresolvable is playable in Words With Friends™, no blanks required. Because it is longer than 7 letters, you would have to play off an existing word or do it in several moves.
Words With Friends™ Letter Score: 23
Highest Scoring Words With Friends™ Play In The Letters unresolvable
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Seven Letter Word Alert: (71 words)
absolve, allures, alveole, areoles, aureole, avenues, baleens, beavers, beslave, boranes, boreens, bravoes, earlobe, enabler, enables, enolase, enrobes, enrolls, enslave, labeler, labours, laurels, laveers, leaners, leavens, leavers, loaners, lobular, lobules, losable, louvers, louvres, lovable, nebulae, nebular, nebulas, nervous, novella, observe, obverse, orleans, overall, oversea, overuse, rebales, rebells, relabel, reloans, resolve, revalue, reveals, revulse, rubella, rubeola, several, soluble, subvene, unbales, unravel, unreels, unrobes, unrolls, useable, valuers, velours, veneral, venules, verbals, verbena, verbose, voluble