Usage patterns
不用意な発言をするto make a careless/indiscreet remark
He made a careless remark at the meeting and surprised everyone.
不用意に〈動詞〉to do something carelessly, without due caution
You shouldn't carelessly open the door.
不用意な行動をとるto take careless or imprudent action
Careless actions can sometimes lead to accidents.
不用意なところを突かれるto be caught off guard, attacked at an unguarded moment
He took advantage of his opponent's unguarded moment to turn the game around.