Answer:
The best way varies from situation to situation, but here's a brief explanation;
Step-by-step explanation:
When you're in conflict (as in, a fight has happened between Person A and Person B, and YOU are Person A), try to stay calm above all else. Do not raise your voice, and try to understand why the conflict happened in the first place. Sometimes the best option is to agree to disagree.
If you're trying to solve the conflict (Person A and Person B are in a conflict, and you're Person C, who's trying to help solve it), don't side with anyone. Keep whatever you say unbiased no matter what. Try to get info on both sides, and if things begin getting heated, attempt to let them blow off steam by ranting.