(used especially of ideas or principles) deeply rooted; firmly fixed or held; "deep-rooted prejudice"; "deep-seated differences of opinion"; "implanted convictions"; "ingrained habits of a lifetime"; "a deeply planted need"
A deep-seated problem, feeling, or belief is difficult to change because its causes have been there for a long time. The country is still suffering from deep-seated economic problems. a deep-seated attitude, feeling, or idea is strong and is very difficult to change deep-rooted
deeply rooted, deep rooted, firmly fixed (used particularly of ideas or principles)