Win 10 update malfunction, restarts 2-3x then blank scrn

[Mtnmann]

I have tried repeatedly and relentlessly to update my laptop to the latest Windows 10 update. There are several restart required and  while my laptop will make it through two or three restarts, it eventually goes to the blank screen where I have to do the power up by unplugging it and holding the power button down for 15 seconds and then powering up again. At that point I have lost any and all of the Windows 10 update progress that actually made it onto my computer. I paid hundreds of dollars for this computer and I don't understand why I am having trouble with even powering up the system sometimes, having to do the 15 second power button hold down, but now it's come to the point where I can't even download Windows 10 updates without eventually getting the blank screen with no further response. Is there any way to get the Windows 10 update through a single download or something that will help me to get this expensive machine to update please?? Thank you for any help you can give me because my boy needs to do his homework and I can't afford another computer. This was my first try of a Hewlett-Packard instead of a Dell and I feel like an idiot.

[WAWood]

@Mtnmann 

You should not be having these kinds of problems with a new Win10 HP laptop.

Before you struggle again with forcing an Update, since you paid for free HP Tech Support as part of the warranty coverage, so you might as well make use of it.

While this PC is still under warranty, you should contact HP Customer Support directly to have them put you in touch with HP Technical Support to see what they can do about troubleshooting and repairing your machine remotely.

I did this recently and the HP Tech was able to remotely access my PC from the Internet to check out the problems.

If they are unable to fix your PC, then you need to explore what options you have to get it replaced under the warranty.

If you live in the US or Canada, contact information is on this page: http://www8.hp.com/us/en/contact-hp/phone-assist.html#section1
If you live elsewhere, contact information is on this page: http://www8.hp.com/us/en/contact-hp/ww-contact-us.html
NOTE: After you get through, stay on the line until you are finally able to talk to some one -- it can take a while!
If you have trouble finding a phone number, then try: 1 (650) 857-1501. Tech Support's number is 1 (800) 474-6836.