figure out
figure out {v.}
1. To find an answer by thinking about (some problem or difficulty); solve.
Tom couldn't figure out the last problem on the arithmetic test.
Sam couldn't figure out how to print a program until the teacher showed him how.
Mary couldn't figure out why her cake tasted so funny until she found salt mixed in the sugar bag.
Compare: FIND OUT (1).
2. To learn how to explain; understand.
Laurence is an odd boy; I can't figure him out.
Compare: MAKE OUT (2).
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Source: A Dictionary of American Idioms
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