concerned about something

he was trying to play it cool and not look bothered

I'm not particularly bothered about how I look

take the trouble to do something

scientists rarely bother with such niceties

the driver didn't bother to ask why

(of a circumstance or event) worry, disturb, or upset (someone)

is there an issue that bothers you so much you'd campaign against it?

it bothered me that I hadn't done anything