Conversation, Debate, Discussion?

I got many lessons today, having a serious conversation or it was more suitable to be called a debate. I am not going to talk about what things we talk about but it has something to do with religion. It is a sensitive topic for everyone. People have their own choice about religion. They have their own idea and opinion about this as well as me.
So, the debate or whatever it is called took few hours to talk. There were 3 persons debating and actually we did not find any solution until we had to stop the discussion without any agreement. Honestly, I know little about religion so I tried to discuss it with one of my classmate after having that sort of conversation with other 2 persons. He is really good at it and I trust him so much.
The topic is so complex that actually there is no wrong opinion about this. We see the thing in a different way, that is why we do not find any solution. But actually, there is no person wrong in giving opinions about the topic. The hard thing to me is trying to accept that their opinions are also true while I still think that what they talk about is nonsense.
I still have to learn more about this since I am not really good at it.