Hi,
Have you tried increasing the brightness by pressing the Fn + F7 keys?
Have you tried pressing the lid switch?
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Try shining a torch at an angle to the screen to see if you can see the 'Desktop' image when you have turned the laptop on. You may have to manoeuvre it a bit to make sure whether there is an image or not.
''If you can see an image'' then the problem is with the 'backlighting'. This may either be caused by a faulty lid switch, faulty cable between the motherboard and the LCD screen or a faulty backlighting power supply on the motherboard.
''If you cannot see an image at all'', try connecting an external monitor and see what is shown.
If there is a normal picture then the problem is either a faulty LCD cable or a faulty LCD screen.