Forgoogle
A thought runs through your head while you are busy doing something. You make a mental note to look it up when you are done. By the time you are ready to google it you realize you've forgotten what the heck it was you wanted to find out.
I was watching TV and wondered where I'd seen that woman before. I waited till the program was over and damn if I didn't forgoogle her name.
Forgoogle
To open the google browser and forget the original intent of the googling.
I turned my phone on to look up some lyrics but forgoogled what song.
forgoogle
to get rid of an unpleasant fact by suppressing its publication.
the editors have decided to forgoogle that specific article.