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This is a great place to ask questions, find solutions and get help from others in the community! I read your post on the HP Support Forums. I wanted to reach out to you and help with your Notebook going to the HP Logo and then shutting down again. You had said that you tried performing a full restoration but it did not work.
If any of the solution's provided below resolve the issue, please mark this post as an "Accepted Solution" so that other's who have the same issue can find the step's easily.
Please try cleaning the computer vents with compressed air and then restarting the Notebook.
Do you happen to see a blue "Choose an Option" screen at all?
Have you tried to Test for Hardware Failures?
Did you happen to receive any error messages or error codes?
Do you have any beep codes or blinking LED lights? If yes, which ones are blinking and how many times?
Please note remove any and all USB devices. Disconnect all non-essential devices, as these could cause some issues.
Here is the Perform an HP system recovery document. With situations where the System Recovery fails, you can use the Troubleshooting HP System Recovery Problems document.
Please re-post with the results and the answer's to the questions above if you require further assistance. I would be happy to continue to help! Could you please provide me with your Model Number (How Do I Find My Model Number or Product Number?).
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