Apologies Virak, I believe I misunderstood your original question. I thought you were trying to use two sets of headphones, not headphones and a mic.
There are two types of 3.5mm jacks that headphones will commonly use: Tip-Ring-Sleve (TRS) and Tip-Ring-Ring-Sleve (TRRS.) Here is a picture for reference:
Does the jack on your headphones look like TRS or TRRS? More than likely it will look like TRRS, as the extra Ring is used for the microphone. This type of jack has to be used with a port that is compatible, which used to be common on cell phones until manufacturers started removing the port on newer devices.
Your computer will typically only accept TRS jacks and therefore will have separate ports for the headphones and microphone. You can buy a TRRS to TRS adapter on Amazon, just make sure it's 3.5mm on BOTH ends and that it has one port (where you would plug in the head phones) and two jacks (where you would plug into your computer.)
With a USB headset you would not have any of these issues as it would use a completely separate driver that supports both the headphone and microphone capabilities.
Let me know if this makes sense and if you have any questions :)