Google made it easier for people to request for search results removal. But, in most cases, it doesn’t work.
Google only comply with the search results which are a real threat to a person or if it is stealing someone else’s digital work. (AKA copyright infringement)
So, if you have a negative search result on your name you can ask Google to remove it by filling this form.
Google is strict when it comes to removal of a search result.
So make sure when you are contacting them for search result removal, include as much information about why do you want to get it removed.
Also, please keep that in mind if you try to manipulate the DMCA process, Google can take a legal action against you or your company.