Complex sentence: He is studying them and thinking about what his next move is going to be, and when Dr. Fairchild sees that she can't talk him out of killing them, she uses her powers to throw Superboy at some of the wreckage and knocks him unconscious.
Split into simpler sentences: He is studying them and thinking about what his next move is going to be. When Dr. Fairchild sees that she can't talk him out of killing them too she uses her powers to throw Superboy at some of the wreckage and knocks him unconscious.