It should be one of these
[i]AMD A8-3850 2900MHz 1MBx4 N/A Llano 32nm B0 100W F2
AMD A8-3800 2400MHz 1MBx4 N/A Llano 32nm B0 65W F2[/i]
Is it?
Look in the Gigabyte Manual and see if the BIOS Clear Jumper is set to Clear and not run and reset it to Run.
Not a common thing with Gigabyte M'Boards but some resellers set these to Clear to prolong the Battery Life so you should check.
You'll need to connect a speaker you can get a Pizeo Electric One from a Electronics store and connect to the Header Strip listed in the Gigabyte Manual to find out what is happening here. If you no longer have the manual you can download one from here and incidentally all Gigabyte M'Boards start with the GA Prefix if you do not list GA A75-UD4H you are not giving the proper Gigabyte Model Number. ;)
http://www.gigabyte.us/products/product-page.aspx?pid=3927#manual
Also check the RAM you have used against the Gigabyte RAM Support List here
ftp://download.gigabyte.ru/memory/mb_memory_ga-a75-ud4h.pdf
If you are not using RAM from this list that could very well be your problem but if you are the full specifications for this M'Board are listed here
http://www.gigabyte.us/products/product-page.aspx?pid=3927#
And you are going to need to remove the M'Board from the case remove the CPU and check the legs on it for any bent legs and straighten as necessary and then refit in the correct orientation to the CPU Socket then fit the Heatsink to the M'Board.
The Heatsink Thermal Transfer Pad should have part way melted onto the CPU if it hasn't either there is no power to the CPU or the CPU is incorrectly set in the socket. It's as simple as that.
If it still doesn't work you'll need to remove the M'Board from the case lay it on some clean white paper plug in the Power Supply to both the 24 Pin ATX Connector and the 8 Pin Auxiliary Connector. If your Power Supply doesn't have a 8 Pin Plug for the Auxiliary Connector you need a different Power Supply as this supplies the 12 V DC to various parts of the M'Board that are not supplied by the 24 Pin ATX Socket.
Connect a Pizeo Electric Speaker to the 2 Header Pins on the Front Panel Connector and remove all but the CPU and Power Supply. Then short out the 2 pins for the Power On Front Panel Switch with either a screwdriver or plug on a press On Contact Switch and start the system running. If it runs you should hear a series of beeps from the Speaker and the M'Board Manual will tell you what those beeps mean.
No Beeps means no power to necessary parts of the M'Board and this could very easily be a faulty Power Supply which is supplying 12 V DC but not the 5 or 1.3 V DC or even if it has those voltages present there may be no where near enough current available to run the system. Or that the CPU is in the wrong way, the Heat Sink is not making proper contact with the CPU and the CPU has burnt out. This can happen in under a second if the Heatsink is incorrectly fitted.
Also having fans run says is that there is 12 V DC present at enough current to run them. It in no way implies that any of the other Power Rails are present or have sufficient current available to run the system.
You'll need a way to test the PS here and Antec make a excellent little unit shown here to do this
http://www.antec.com/Believe_it/product.php?id=MjA3OCYyMA==
So you could get one of those or fit the PS you are currently using to another working computer and see if it powers that system. If it doesn't you need a replacement Power Supply. Personally I only use Antec Power Supplies like Earthworks or Basiq types as I have had excellent protection to the electronics inside the case offered by these at a reasonable price. But that's just me and I have not had any real issues with these units not working from new but it is vitally important to get a suitable type PS for the case that you have purchased.
If it works out of the case plug in a monitor and again test this on another working computer it wouldn't be the first time that I wasted hours trying to fault find a issue when the monitor had died overnight or from the last job that I used it on minutes previously.
That should give you something to start with but I have to warn you I do not use AMD CPU's because I have found them way to Finicky in the past to be good enough for my customers. I have pulled several High End Servers out of Service because the buyer wanted AMD Options which simply didn't fit the required use where as Dual or Quad Xeon Systems worked faultlessly in the exact same location.
Col