Mathematical term: the value(s) that satisfy an equation or inequality. 解 is used for solutions of equations, while 根 is more common for roots of polynomials.
Find the solution to this equation.
General term for the answer or resolution to a problem, puzzle, or question. Often used in contexts like 問題の解 (solution to a problem).
Refers to an explanatory account or interpretation, often of a text, concept, or situation. Less common than 説明 in everyday speech; more formal or academic.
Find the solution of this equation.
The solution to that problem has not been found yet.
I looked up the explanation of this word in the dictionary.
This inequality has no solution.
The team worked out a solution to the problem.
解釈 is the standard word for interpreting a text or situation, while 解 alone is a terser, more literary term for such an explanation.
説明 is the common everyday word for an explanation, whereas 解 is more literary and often implies a deeper interpretive account.
解 (かい) means a solution or interpretation, while 会 (かい) means a meeting or association; they are unrelated words that happen to share the same reading.
understanding; comprehension; appreciation · sympathy; empathetic understanding
settlement; solution; resolution
explanation; commentary; exposition
release; liberation; setting free · deallocation (of computer memory)
breaking up; dispersal · dissolution; winding-up; disbandment · dissolution (of parliament)
From Middle Chinese 解 (kɛX, 'to untie, explain, solve'). The kanji 解 originally depicts a hand removing an ox horn, symbolizing separation or unraveling, which extended to solving problems and explaining.
comprehension; understanding; consent; agreement · OK; roger; got it
interpretation; explanation; reading; construction
misunderstanding; misinterpretation
analysis; analytical study · parsing; parse
disassembly; taking apart; breaking down · decomposition; breakdown; disintegration · factorization; factoring
opinion; view; point of view
demolition; dismantling; disassembly · dissolution; breaking up · dissection; dismemberment
dismissal; discharge; firing; layoff
lifting a ban; raising an embargo; opening a season · releasing information; publishing previously withheld content
elucidation; clarification; explanation
cancellation of a contract; termination of an agreement
dismissal; discharge; removal from a post
dissection; autopsy; postmortem examination · analysis; postmortem; in-depth examination
answer; solution
decipher; decode
incomprehensible; mysterious; inexplicable
explanatory diagram; illustration
understand; appreciate · interpret
difficult to understand; abstruse; unintelligible
thawing; defrosting · decompression; extraction; unpacking
reading comprehension
dissolution; dissolving; chemical solution · melting; liquefying; fusion