Chosen Solution
I have tried everything the Playstation support webpage says to try connecting, and nothing has seemed to work. I have connected it with a MicroUSB cable, and pressed the PS button, I have reset the controller while turning on and off the PS4. I have changed cables. It is fully charged, and the cables work. I just can’t get it to connect.
Try connecting it by cable and then press PS button
Try holding the PS button and the options button at the same time and try to connect it in the bluetooth menu. The light on the controller should flash white.