The adverb inadvertently means something done accidentally.

Synonyms are carelesslynegligentlyrecklessly, or unintentionally.

The word origins from 16th century. It comes from inadvertent meaning “careless, accidental”.

He rushed into a decision inadvertently that almost took the king’s life.

They inadvertently met in the busy streets of Shibuya.

She’s not aware that she inadvertently rescued him from living a meaningless life.