Chosen Solution

my mac mini turns on regularly - you hear the classic apple sound - but the video remains completely black. What can I do ?

This series uses the Intel intergraded graphics engine (HD Graphics 4000) which is part of the Ivy Bridge CPU. Sadly, the only solution here that makes sense is to replace the logic board: Mac Mini Logic Board i5 2.5GHz - Apple P/N 661-7017Mac Mini Logic Board i7 2.3GHz - Apple P/N 661-7018Mac Mini Logic Board i7 2.6GHz - Apple P/N 661-7019 Here’s the iFixit guide you’ll need to follow Mac mini Late 2012 Logic Board Replacement and you really want this tool Mac mini Logic Board Removal Tool