I don't know much about what I'm doing, and I need help. I'm trying to cut a hole in my wall for a 1 gang low voltage bracket. Do you know what type of wall this is? It's very hard to cut into with a drywall saw. Do you perhaps know how I can cut into this easier?
That's a normal wall, sheetrock over plaster. That's how you save money when you want to renovate your home with plaster walls in bad shape, you just screw gyp board on top instead of paying for demo/dumping then gyp.
run your finger around the back side of the plaster inside the wall, you should feel some lath or if the lath is nocked away, you should feel flat/bulge/flat/etc.
Also, that's not insulation. Insulation is like cutting through butter. That's plaster. Delicious dusty plaster.
It's fine to cut into with a drywall saw, and it's normal that it will destroy your drywall saw. Most people just use whatever they have on hand, and you just have to decide which tool you want to destroy.... you can get purpose made masonry blades for your tool of choice, but then you have the tool of choice cost on top of the blade, and a drywall saw is so cheap to begin with. Cost of "replacing" drywall saw you already have if you're really sad it's not sharp as new versus: Cost of reciprocating saw and masonry blade; or, Cost of masonry reciprocating saw blade and replaceable blade handle that accepts that type of blade; or, Cost of oscillating multi tool and masonry blade.
That is classic Sheetrock or drywall you can tell by the paper. What is probably giving you trouble is the insulation.
I can not tell if it is spray in or sheets put in place but the fact you can cut it at all with a dry wall saw makes me believe it is insulation foam of some type because it is solid after cutting.
More information on the texture or how you are trying to cut (for wires going up down or through the wall will help provide better answers on cutting but a recrip saw or saws all usually works well where a plunge saw is the same but going much slower because elbow power is slower than electric power in this case.
It looks like standard drywall with polystyrene insulation. You can cut that like normal drywall, with a drywall saw. Preferably a very short one, so the blade doesn't bend too much.
The outlet is probably going to be fastened by little "tabs" that grab the back of the drywall. Since you want them to grab the drywall and not the polystyrene, you'll have to remove a little bit of polystyrene where those tabs are.
Now if these panels were glued to the wall, as they usually are, it's a real headache to run the cable conduits behind.