Chicano :
That's what I meant... your motherboard should have two audio out jacks next to each other for front and rear speakers for 5.1 or 7.1 speaker sets.. (not for headset but for front and rear quadraphonic speakers).
I can't tell you from the image because they are all the same color but you should be able to tell from the audio out icons stamped on the metal plate.
Is the red jack audio out, the one that's broken?.. if so, the one opposite to it if I'm not mistaken, should also be audio out.
How does that help?
If he sets it to STEREO it comes out the broken jack. If he sets to surround then part comes out the broken, and the other speakers out the other jacks.
He can't get a usable output if that connector is broken.
1) You can replace the front connector with a mount. Here's one with USB (3.5" and 5.25")
https://www.amazon.com/dp/B013QSTTUO?psc=1
or
https://www.amazon.com/dp/B00UBFXMXG?psc=1
You'd then have to run the cable back to the speakers so not ideal.
2) THIS thing you might rig something up, maybe run it towards the rear and mount it with twist ties or something (don't interfere with fans or short anything)
https://www.amazon.com/Audio-Jacks-Earphone-Front-Bracket/dp/B00H8TGLEU/ref=pd_day0_147_5?_encoding=UTF8&psc=1&refRID=9JT078KP8MH68J2XEG3R
I don't know of anything better, but it's a bit messy.
3) SOUND CARD (internal or external):
It's probably the best solution.
4) external DAC (takes the DIGITAL source and converts to Analog without adding computer electrical noise)
5) monitor auto-passthru?
Some monitors can take the HDMI or DP audio in and send to monitor speakers or have an output meant for headphones that you can run to stereo speakers.
In that case you'd select HDMI as the source so it's not using your Realtek chip rather your GPU.