To withdraw, leave, or retire from a place or situation; to step back (intransitive).
問題が解決しないなら、一旦引き下がろう。
If the problem can't be solved, let's withdraw for now.
彼はその場から静かに引き下がった。
He quietly withdrew from the scene.
話し合いが平行線なら、双方とも一度引き下がるべきだ。
If the discussion is at an impasse, both sides should step back once.
To back down or give up (one's claim or demand); to concede (intransitive).
彼は立場を曲げず、最後まで引き下がらなかった。
He refused to back down and stood his ground until the end.
相手が謝罪したので、こちらも引き下がった。
Since the other party apologized, we also backed down.
交渉で必要以上に引き下がると不利になることもある。
Backing down too much in negotiations can sometimes be disadvantageous.