Will this set up produced a decent sound within the room I have? Does anyone have any better suggestions for speaker placement?
Echo all that was said about the room being very short on absorptive materials.
I would bypass carpeting, which is a horrible broadband absorber, and go right to the walls.
The place where you want to put the speakers seems to be the only logical choice.
The opposite wall has some value in terms of diffusion, but covering much of it with well-designed absorptive panels at least 4" thick could allow you to keep the bare wood floors which look cool, and would be a better broadband absorber. Then the corners by the speakers.