Galileo's problem was that he was trying to teach people science which was in conflict with what the church preached. When he started questioning the church and providing scientific results the people started questioning as well which did not bode well for the church. The conflict got resolved with him abandoning his research and living a quite secluded life until he died.
Galileo said that system of planets is heliocentric wich mean sun in the middle of planets. church said the opposite of that. so church decide to give him opportunity to study and to prove that he's right.
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would most likely be the answer that you're looking for to this question, that you have asked 
