To manage room effects, several methods of speaker placement (such as Cardas) depend almost entirely on the room geometry, without necessarily taking into account a speaker's characteristics. However, chances are, a near-flat frequency response isn't your only speaker placement goal. I've used a formula that has been referred to as the "Allison Rule", which also can take into account your speakers' bass response characteristics.
The rule states that the distances from the woofer (or woofer midpoints) to the floor, woofer to the side wall, and woofer to the front wall should be as different as possible (in order to minimize room effects). To accomplish this, apply the following equation:
Middle distance squared = shortest distance multiplied by longest distance.
The woofer height (H) is fixed (in my case, at about 22 inches). For the distance from the front wall (F) , I choose a distance that that seems to optimize bass response of my speakers, consistent with furniture placement and good imaging/soundstage. So I set F at about 36". The formula then derives the optimal distance from the side walls (S): 36^2 = 1296; 1296 / 22 = 59". So my speakers are about 36" in from the front wall and 59" in from the side walls.
This approach works with your room geometry, but allows you to choose one of the 3 dimensions for good bass response (or for whatever else you're trying to satisfy, such as your spouse's furniture placement preferences). But the optimal distances for bass response vs. imaging etc. are likely to vary (maybe a lot) from speaker to speaker.