Final answer:
A non-problematic multicore state is a nation with peaceful coexistence of different groups, like Switzerland, where multiple linguistic and cultural groups coexist with a high degree of autonomy and effective conflict resolution mechanisms.
Step-by-step explanation:
An example of a non-problematic multicore state is a nation-state where governance is shared among different groups or regions without significant conflict. Such a state typically features a stable political structure with effective conflict resolution mechanisms, equitable sharing of resources, and a strong sense of national identity that supersedes regional affiliations. A good example of this might be Switzerland, where multiple linguistic and cultural groups coexist peacefully through a system of cantons with a great deal of autonomy within the framework of a federal government. The Swiss system includes mechanisms for shared decision-making and conflict resolution, which help maintain the country's stability.