Sorry for the delay in reply. I've been offline.
Thanks for the screenshot.
Your system appears to be missing the audio driver required for your speakers to work. However, downloading and installing the driver isn't hard. See below.
Go to the support area of the HP website by clicking the link below to download the driver.
Driver name: Realtek HD Audio Driver
Version: 22.9844.2108.87 Rev.N
(You will need to expand the "Driver-Audio" category to find the driver I am referring to.)
After downloading the driver installation file, double-click to run it and follow the on-screen instructions to install the driver.
Then restart your PC and see if the speakers work.
If the problem persists, please let me know.
Feel free to ask back any questions.
Standard Disclaimer: There is a link to a non-Microsoft website. The page appears to be providing accurate, safe information. Watch out for ads on the site that may advertise products frequently classified as a PUP (Potentially Unwanted Products). Thoroughly research any product advertised on the site before you decide to download and install it.