capable of being dissolved or liquefied: a soluble powder.
capable of being solved or explained: a soluble problem.
something soluble.

1350–1400; Middle English < Late Latin solūbilis, equivalent to Latin solū-, variant stem of solvere to loosen, dissolve + -bilis -ble

solubleness, noun
solubly, adverb
intersoluble, adjective
nonsoluble, adjective
nonsolubleness, noun
nonsolubly, adverb
unsoluble, adjective
unsolubleness, noun
unsolubly, adverb

solvable, soluble. Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
soluble (ˈsɒljʊbəl)
1.  (of a substance) capable of being dissolved, esp easily dissolved in some solvent, usually water
2.  capable of being solved or answered
[C14: from Late Latin solūbilis, from Latin solvere to dissolve]

Collins English Dictionary - Complete & Unabridged 10th Edition
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Word Origin & History

1373, "capable of being dissolved," from M.Fr. soluble, from L.L. solubilis "that may be loosened or dissolved," from stem of L. solvere "loosen, dissolve" (see solve). Meaning "capable of being solved" is attested from 1705.
Online Etymology Dictionary, © 2010 Douglas Harper
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American Heritage
Medical Dictionary

soluble sol·u·ble (sŏl'yə-bəl)
Capable of being dissolved, especially easily dissolved.

The American Heritage® Stedman's Medical Dictionary
Copyright © 2002, 2001, 1995 by Houghton Mifflin Company. Published by Houghton Mifflin Company.
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American Heritage
Science Dictionary
soluble   (sŏl'yə-bəl)  Pronunciation Key 
Capable of being dissolved. Salt, for example, is soluble in water.
The American Heritage® Science Dictionary
Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
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Example sentences
Others wanted to know if oat-bran and soluble fiber were the same.
The curious fact about medicines is that, in molecular terms, they are so
  alike: small and soluble in water.
Because salt is soluble in water, salt applied to such surfaces dissolves.
There are two forms of fiber: soluble and insoluble.
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