When combined, 搞错 (gǎo cuò) literally means “to do wrongly.” The emphasis is on the action that resulted in the mistake, which makes it a dynamic and incredibly useful phrase in daily life.
While not a deep philosophical term, the use of 搞错 (gǎo cuò) is culturally significant in social interactions. It's a key tool for maintaining social harmony by allowing for a soft and blameless admission of error. Saying “不好意思,我搞错了 (Bù hǎoyìsi, wǒ gǎo cuò le)” — “Excuse me, I made a mistake” — is a very common and effective way to defuse minor, awkward situations. It's less intense than a stark “我错了 (Wǒ cuò le)” (“I was wrong”), which can sound like a serious confession of moral or significant fault.
搞错 (gǎo cuò) is extremely common in informal and neutral settings. You'll hear and use it constantly.