Dell webcam central application is what you are looking for. Its no longer supported by Dell (end of life) You may find an older version on google but it may not work. Although any application which uses Camera should work without this software,  have you tested it with SKYPE.     Machine is compatible with windows 10, upgrade it. Camera is natively supported by OS and you will not need any Dell software for it 
Picked up a used 5559 and have been getting it the way I like it but it seems to lack the camera software, have rebuilt most of its system but am unable to find this. Camera trips on fine when Dell tests my hardware from "X" miles away but I am unable to,  in the program menu it shows as an empty folder, while the system says unable to locate some file (which I am not allowed to write it seems) but I am unable to locate the specific software. I know software gets ripped out during clean ups for resale, but I am a bit loathe to pay £48 for a bit of Dells older software. Can anyone help please......... David[IMAGE]  
Camera console on an Dell 5559 software "location"