I'm not sure what these screws are called so I'm not sure what to search for.
On mobile having trouble tagging, so feel free to edit.
Below are pictures of the screw in its deployed and non deployed state
Basically it's a wide head screw that screws into the wall in a non stud area, and a normal screw is screwed into that. The screw in question (that goes into the wall) has a "flap" or piece/hinge that deployed in the wall to balance the weight I'm assuming.
I can't figure out how to get them out of the wall when the hinge is deployed. Any ideas? I'll try to upload a picture of I can