if it boots to black screen it can mean there is some video driver issue. press f8 when booting and select safe mode, once you boot into windows uninstall your video drivers...restart and install new ones
Does it shut off or just the screen goes black but it continues to work OK? Try booting in safe mode. Could be a hardware issue with the screen or motherboard also. If it does not work in safe mode, try booting it with an external monitor to see if the issue is with the screen.