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think something through
to run over and try to settle something in one's mind. Let me think this through and call you in the morning. I will think through this matter and get back to you.
Also, think out. Arrive at a thorough understanding of; devise or contrive thoroughly. For example, That answer doesn't work; I don't believe you've thought the problem through, or He thought out a far more efficient method. The first term dates from the early 1900s, the variant from the mid-1800s. Also see think up.
To reason about or reflect on something, considering every detail and consequence: Make sure you think through the consequences before you act. Don't make the decision to quit your job right away—think the matter through.