You're very welcome.
OK, you should be able to fix this problem pretty easily.
Since HP does not officially support your notebook for W10, but the W10 graphics driver works, we are going to add the HDMI audio driver from the W7 graphics driver file on your notebook's support page, without messing with the working W10 display driver.
First, download and install this free file utility. The 2nd file on the top of the page is for 64 bit.
http://www.7-zip.org/
After you install 7-Zip, download and save but do not run this W7 graphics driver file.
This package provides the Intel High-Definition (HD) Graphics Driver with Turbo Boost Technology for the supported notebook models and operating systems.
ftp://ftp.hp.com/pub/softpaq/sp64001-64500/sp64360.exe
Now that you have downloaded and saved the graphics driver file, right click on it, and select 7-Zip from the list of options.
Have 7-Zip Extract to: and let it extract the driver file into its folder file name (sp64360).
Once that is done, go to the device manager and click on the plain High Definition audio device (not the IDT one).
Click on the driver tab, click on update driver.
Select the Browse my computer for driver software option, and browse to the driver folder 7-Zip created.
Make sure the Include Subfolders box is checked, and the audio driver should install.
Restart the PC, and you should now have video and audio via the HDMI out port.