Room correction help

It's just me and my wife. No shoes in the house and no pets. She loves the rug and I have to comprise.  Erik I do appreciate the advice,  but if I put something on the ceiling I will probably be in the dog house. I did talk her into panels as long as the go with decor.  I will be getting 5 x5 ft panels 2 inch thick, to each side of front speakers. Probably use GIK. I know the photos I want. Both james dean, one is outside the theater and the other is outside the dinner.  For got the name, but have the pics saved.  In the room I have 5.1.4 going on.  I have an avm60 so it should do good with room correction.  After these room corrections, I will see if I need more. And help is always greatly appreciated.  Behind the tv I put 4 panels of black out curtains about 6 ft wide centered to room, i did the same with back wall.  Curtains are heavy.

https://youtu.be/1G442kuJvkc

One and done. You can treat the room and it helps but as I was told...

First best thing you can do is forget everything you think and pretend you know nothing and neither does anyone else. Because its true. The only way to know is to find out. The way to find out is to try and see.

So get yourself a panel or two of Owens Corning 703 acoustic panel. OC703 is cheap and handy. OC703 is what's inside a lot of expensive acoustic panels. Many hardware stores will have it. Its light weight and can be easily cut to whatever size or shape you want with nothing more than a razor blade or box cutter.

So you want to know what the rug will do? Lay your 2 sheets of OC703 on the floor where the rug will go. Listen and see. Takes like 2 minutes and you will know.

First reflection? How much difference will it make? Lean one panel against the wall in the right places and again in a few minutes no more guessing, you will know for sure. You can even experiment, by say cutting a piece 12" square or whatever and sticking that on the wall with tape or push pins. The stuff is really light, only takes a few minutes and you will know.

Keep on going. In no time flat instead of hoping and dreaming someone here knows, forget about it, you will KNOW what works, exactly, and by how much, and which was better and which was not as good and which was a total waste.

I can tell you right now the most effective locations, which no one else will, because they haven't bothered to try and find out- cut triangles about 12" on a side, stick them in the corners where the ceiling and walls come together. Next most effective, 8-12" wide rectangles in the corners where the walls meet, and then after that where the walls meet the ceiling. 

Putting it on the side walls works, but its real easy to over-do it and wind up with too much damping.

But the real reason for taking this approach is you learn to listen and evaluate. Then you order up a full set of Synergistic Research HFT for your walls and speakers. These tiny unobtrusive little things are about a million times more effective than anything else you can do. But to fully appreciate just how good they are you kind of have to work at it the old school way first.

@millercarbon

Next most effective, 8-12" wide rectangles in the corners where the walls meet

You mean covering the corners like corner traps, the exposed face being 12" wide?

FWIW I experimented on first reflection points and I didn't hear much difference. Maybe these spots you mention male a bigger difference. I'll try them out. I really wanted to hear a difference, but didn't. 

A couple of things to think about:
normally you might want to place your speakers in the right location before applying reflection point panels. There is a rule of thirds or maybe 5ths meaning your should start your speakers 8’ out from the rear wall. This should help in bass response and depth. 
The space between your speakers seems it might be too large. This will hurt your soundstage and imaging. 
Check out the Cardas website along with many others that give you formulas On where to place your speakers based on your room dimensions.