You figure out something to solve a problem. It can basically mean to find a solution. Sometimes when you don't have much money you must figure out a way to pay the bills and other expenses on a tight income. In sports and other competitive things you must figure out the weaknesses of your opponent and take advantage of them.

Hello Alessandro. How are you? "Figure Out" = Think about something until it is no longer a puzzle or a mystery. ---Warm Regards, Bruce