فعل عبارتی (phrasal verb) Argue down به معنای “شکست دادن کسی در بحث و جدل” است.

syn  :  Beat someone in a debate=discussion or argument=To win an argument

The teacher tried to argue the girl down, but she couldn’t

معلم سعی کرد تا در بحث دختر را شکست دهد، اما موفق نشد.

His wife argued him down from his trip to Vegas

I argued him down to twenty dollars