Logitech x-540 speakers wont work??

Typically surround sound is run through a receiver or stereo. The sound from the tv is carried to the receiver by cables (hdmi or Audio-Video connected to input area of receiver). Then the speakers are connected to the output area of the receiver.
If you are not using a receiver, then the speakers must be able to connect directly to the tv and you have to see what kind of cabling your tv supports.

Copy and paste the below URL to your address bar.

http://logitech-en-amr.custhelp.com/app/answers/detail/a_id/5524/section/troubleshoot/crid/439/lt_product_id/234/tabs/1,3,2,5/cl/us,en/kw/

Hi bud , What your laptop has is a 2.1 Channel Sound card , and your speakers are a 5.1 Channel Surround Sound system ...So in order to get the Real pure surround sound , Sound out of the speakers you will need to buy a 5.1 Channel Sound card...
Hope you come right bud
happy new year :)

No it's not possible to have a sound. Because the HDMI and the Headphone (3.5mm jack) are on two different technologies.

The monitor does not have a way to convert the sound from HDMI to Headphone.

There could be a converter that might convert the sound signal from HDMI to headphone (but I'm not sure).

why dont you have them all hooked up? I have the same speakers but I the model that only has 2 speakers. Try pluging your audio cable in the front where you would plug head phones in. Assuming that this is a desktop.

Goodday remmember that you have to have a 5.1 sound card to be able to use a 5.1 sorround sound system.the 5.1 has more plug inputs to plug all the speaker FRONT REAR and SUB.

Your speaker system is designed for the 5.1 surround. *********** board manual shows you which wire goes to where. 

Here is the DELL support page for your computer and the logitech drivers and software needed.
http://support.dell.com/support/downloads/driverslist.aspx?c=us&l=en&s=gen&ServiceTag=&SystemID=INSP_DSKTP_D530&os=WLH&osl=en&catid=&impid=

The system comes with l remote which provides controls for "Power", "Master Volume", "Bass (Subwoofer) Volume" and "Matrix Mode" . Matrix mode allows you to spread stereo sound to all speakers where your sound card may not have the ability to do so.
I find that the "Stereo Surround" setting works best as opposed to the recommended "CMSS" setting

go into sound device on control panel. make sure digital is unchecked.