How is a compromise not a real solution?

In a compromise, each person gives up something such that everyone involved suffers ‘fairly’ and ‘equally’. A genuine solution, on the other hand, is one which everyone involved prefers, including preferring it to their own antecedent preference. No one is suffering, ‘fairly’, ‘equally’ or otherwise.

How can I tell if a proposed solution is a real solution?

Does the proposed solution spark joy? Is everyone beaming? Are our eyes all shining? Do you see delight? Joy? Animation? Skipping? The odd cartwheel, perhaps? Is it a “YES!!!!” all round? That suggests you have created a real solution.