How did Vespasian’s reign bring stability to the Roman Empire after Nero’s death?

Vespasian restored stability to the Roman Empire following the chaos of the civil wars that erupted after Nero’s death in 68 CE by addressing both the fiscal and military crises that had left the state "tottering".1

His approach to stabilization included:

• Fiscal Reform: To recover from the deficits incurred by Nero and the subsequent civil wars, Vespasian implemented a rigorous financial program. He increased and systematized provincial taxation, revoked previous immunities, and reclaimed public land. These measures provided the funds necessary to restore the capitol and initiate major building projects, such as the Colosseum and the Temple of Peace.123
• Military Reorganization: He restored discipline to the armies by regrouping legions to remove those that had supported his rivals and reducing the size of the Praetorian Guard. He also strengthened the empire's frontiers and professionalized the military forces.12
• Political Legitimacy: Recognizing that the principate lacked the prestige of high descent, Vespasian formalized the office's titles and prerogatives. He expanded the Senate by recruiting new members and promoted hereditary succession to ensure long-term stability.12