Dean's right, ARC and its ilk can do nothing to combat resonant nulls.
Here's what that means: Sound will bounce off walls, the floor and the ceiling, eventually coming back to meet itself. The direct sound and the reflected sound collide, and get added together. If they happen to be in phase, they'll get louder. If they happen to be out of phase, they'll
subtract from one another and get quieter. This is what screws up the frequency response of your room.
At certain frequencies, the main signal and the reflected signal will meet completely out of phase with one another, causing them to cancel each other out ("destructive interference"). At that specific spot, and at that specific frequency, there is effectively no sound. That's called a null, a dead spot in the room and the ONLY way to treat it is to provide acoustical absorption so that the reflected signal has less energy to add to the original direct signal.
(Note that when nulls are very close together we don't experience them as silence, but rather as comb filtering. That hollow, in-a-pipe sound. That's nasty too, but easier to treat because we're talking higher frequencies. When we talk about nulls we're usually referring to low-frequency problems, where the nulls are far enough apart to create noticeable dead spots.)
If the primary signal and the reflection meet exactly IN phase with one another, then they add together and cause a resonant PEAK. Just the opposite of a null. (It's called "constructive interference".) In that case, you hear way too much of that frequency. ARC can help with that by reducing just that frequency from your speakers' output.
However, ARC cannot "fix" peaks for every position in the room. That's because at a given frequency, there will be peaks AND nulls at different points within the room. What ARC can do is reduce the peaks at one important position - the spot where you sit when you mix. To someone standing behind you, it might still sound like crap!
These are the reasons ARC isn't a complete solution, but rather the finishing touch you apply
after addressing problems acoustically as best you can.