Since your PC apparently comes with both onboard video and a separate video card, from your description, either (1) the video card itself is bad, or (2) when HP configured your PC, they did not configure it properly to use the video card as the default video device.
Unfortunately, without video on your PC, there is really nothing we can do from here to have you diagnose these problems.
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 and do the needed repairs.
I followed your suggestion to contact a live HP tech support person. They were able to resolve my problem on the phone. It took awhile but my computer is up and running like it should. HP tech support was knowledgeable, friendly, patient. I could not have asked for a better experience on the phone with a tech support person. Hats off to you and HP for a very satisfying experience.
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