Wall outlets (or jacks) have IDC (insulation displacement connectors) on the reverse side upon which you punch down (terminate) the solid core Cat6 cable.
Use a sharp knife to carefully score the outside of the cable, not too deep, pull away the sheath. Use a pair of small cutters to trim the centre splice/former/pair separator, carefully pull apart the pairs (don’t untwist them), so that each pair radiates out. Locate onto the reverse of the jack. Be aware that the same colour code should be used at both ends either 568A or 568B. Pair colours to pins are typically labelled/noted on the reverse of the jack. Untwist each pair only as much as needed to seat the wire onto the top of the IDC. Once all wires are correctly seated, apply the retaining cap and press down to seat the wires into the IDC.
For wall jack to wall jack terminations it’s not usually these days to need a tool to do so, but can sometimes help. The best is something like a Fluke punch down tool, which comes with various blades the most common are ‘110’ and ‘66’ blades. However these are usually only needed when terminating cables onto 12, 24 or 48-way RJ45 patch panels. If you have a lot of cables that is the way to go at the central location which you star wire from.
Here’s
a video which may help. Although this is for Cat5e the process is the same for Cat6 or 6A, just that the latter is a heavier thicker cable, usually with the centre former.
Although it’s done, I wouldn’t recommend that you field terminate Cat6 plugs onto solid core cable. Folks do it, but it’s not ideal really. Better to field terminate only onto IDC jacks and use factory made fly-leads / patch cables to connect your equipment.