Both strikes came from visiting players, as Mainz's Macedonia defender Nikolce Noveski scored a ninth-minute own-goal to give the hosts an early lead.
Egypt striker Zidan spared his team-mate's blushes though when, 20 minutes later, he scored his third goal in as many matches since returning to the club from Borussia Dortmund.
Both sides lie in lower-mid-table, with 10th-placed Hoffenheim on 26 points and Mainz two places and points behind them.

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