My next thought (guess) is that something has happened to the headphone jack to cause no speaker or headphone sound. In many PC's the headphone jack controls speaker sound by an extra contact. This gets to the hardware inside, many PC's have a "Daughter" board with the I/O jacks on them. If there is a bad connection between the daughter board and the main motherboard that can cause no sound. It may not be your problem but one to consider. However, that involves disassembling the laptop to access the hardware, something you may not want to do. Best option, now, is to take it to a qualified laptop PC repair shop and have them check it. You will have to pay for the service but it will find out what the problem is (and maybe fix it).
On the other hand, since this is a discontinued "entry level" laptop with Win 8, it may be time for a new PC with Win 10. The cost to repair may exceed its worth.