One of the failings of the Xbox 360 console is it's reputation for developing GPU based faults known as "the red ring of death", E74 error or sound but no display.
Two of the most effective remedies are to clamp the processer or fit heat sinks to the memory chips on the underside of the board - the Xecuter RROD Fix Pro kit addresses both of these problems and offers an all in one solution with the necessary tools, heat sink paste / pads, screws and washers.
Many guides and fixes are avaliable over the internet and if enough time is taken to read up on the subject you could at the very least resurrect a dead console or even permanently fix one!
Please note that Microsoft offer a 3 year warranty on some of these faults and can be contacted via thier website.