The tradition which weakened the Carolingian Empire was the partition of the empire among the sons of the emperor. This led to wars between the sons over territory, which was often also joined by other relatives.
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Romes soilders became less loyal and disiplined
They used the situation to weaken their greatest commercial competitor, the Byzantine Empire.
You need to answer this question yourself because it is so broad. Find out what the problems were and decide what was not a problem.
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In the army, discipline and loyalty had collapsed. Soldiers gave their loyalty not to Rome but to their commander, who fought among themselves for the throne. To defend against the increasing threats to the empire, the government began to recruit mercenaries, foreign soldiers who fought for money. While mercenaries would accept lower pays than Roman, they felt little sense of loyalty to the Empire.