In proelio zamae, hannibal ab exercitibus romanis superatus est et secundum bellum punicum tandem finitum est. need translating this latin to english. no google translate.

I believe the correct translation is: In the battle of Zama, Hannibal was overcome by Roman armies and second Punic war was finished at last.

This sentence is refers to the historic Battle of Zama (Tunis) at the end of the Punic war, the war between Carthage and Roman Empire. Because the war was against Carthage to this war is also referred to Carthaginian war or Hannibalic war as the army of Carthage was led by Hannibal, so you may put that in your translation if you will. Also, words such as army and overcame may be exchanged for troop or overwhelm. This sentence is whole written in passive voice of perfect indicative.