What happens if there is a deadlocked case?
Look back through the thread.
IIRC, a tie sends the case back to the last court to have heard it.
I did a little research, and this is not confirmed, but when this happens the SCOTUS issues what is called a per curiam decison, which basically upholds lower court rulings.
When the Court is deadlocked, the lower court's decision is "affirmed by an equally divided Court." This resolves the case, but hold no precedential value (i.e., does not affect later cases).