The question of God is not a problem,but rather a mystery.Just as death,evil,suffering and love are mysteries.Whereas,how to cure cancer,the number of atoms in the sun,did shakespeare write shakespeare are problems.How to make people good is a mystery,how to kill them is a problem.
The question of God is a mystery to the believer ,not to the unbeliever.The believer finds his identity,the meaning of life and purpose and hope of his life,and the ultimate foundation for his morality in God.
The unbeliever believes that he has freed and detached himself from from the idea of God,as from an illusion,like a man waking up from a dream,no longer under its spell.
So the idea of God is not a conclusion,that one would use to solve problems,but a mystery,for no one can ever conclude that they claim to know everything knowable about God,or to fully and adequately comprehend the nature or essence referred to by that concept.Hence,no conclusion can be drawn and it remains a mystery.
Blueblades