The world isn't always peaceful. Sometimes people's minds collide and either person is absolutely convinced of being right.
Wether it is a political debate or a business problem that has to be solved or something else.
Often while discussion goes on, ether person will be even more and more convinced of being right,
because minds are in a rush to collect more and more good arguments for the own position.
So when your face turns red and you start to sweat and get louder and louder... how can that mechanism be broken?
(maybe at first by leaving the room for a couple of minutes and drinking a glass of water or smoking a cigarette:-) )
Then you can ask yourself a simple question:
"Do I want to be right or do I want to solve the problem?".
When you ask yourself this question, your mind calms down a little. Maybe then you recognize, that some of the other person's points in the argument are not as stupid as you thought in the first place.
Then the door is wide open. Now you can find a good compromise. Or maybe even a much better solution.