Then, decide what can be done to resolve the conflict. List alternatives that might bring a resolution of the differences. Try these, one at a time. Sometimes, gentle talk will bring an acceptable resolution, but other situations may need more active confrontation, including a willingness to challenge and be challenged. It can be helpful to recognize that conflict resolution may not come for a long time and sometimes won't come at all, despite your best efforts.
Some differences are irreconcilable.
Instead of one side winning while the other loses, both sides should attempt to help each other win. A good example concerns two children dividing a piece of cake. When the conflict is within yourself, like when you are struggling to make a decision, it helps to list alternatives in two columns on paper. Then write down the good and bad points of each. This can clarify issues to help you decide what to do.