Removing popped tiles and putting them back down

When a 3' x 3' square of tile popped up off the concrete floor of my living room I pulled them up to see what was going on. However when I inspected it, I didn't see anything underneath the tile that would cause the problem. I did notice that sunlight streaming through the window lit and warmed up this particular area of the floor, so I believe it may have been caused by sunlight heating up the tile in that particular area and caused them to expand and pop. Regardless, I didn't have enough extra matching floor tiles to replace these so I decided to carefully pull up the existing tile, clean them then put them back down. Here's how I did it.