First of all, make sure the machine is completely turned off (pull out the main power cable).
Without any experience with DELL computers (I am my own PCbuilder

), but a lot with normal self made setups, you normally "kick" the motherboard into gear again by removing everything but the bare necessities (RAM, keyboard and video) and use one of three methods:
1) Reset the bios by setting a jumper (see the manual, most if not all motherboards have this option). Now turn the machine on and off again. After that set the jumper back to its original position and turn on the machine again. This should do the trick.
2) Some people also turn off the PC, remove the battery, turning it on and off again, put the battery in place and start the PC.
3) You could even try to use an 'old skool' method I was told to use when working at OLIVETTI years ago...using a solid, even, grounded and cleaned metal plate the same size as the motherboard and let the bottom of the motherboard rest on this plate for a few moments. Make sure that the whole bottom from the motherboard touches the plate at the same time!
After "kicking" put the components back on a one-by-one basis (to rule out any nasty other hardware errors).
You told that you checked the power supply? Did you actually measure the exact output of each spawned plug ? Also under load? The reason why I mention this is that I had to replace four PSU's which in principle are not broken, but I cannot use them in production machines either because after taking measurements I found out that they did not deliver the required/specified power.