When one single molecule of 2,3-bisphosphoglycerate binds a hemoglobin tetrad, it causes a shift between the alpha-beta dimers such that the taut form of hemoglobin is stabilized. This stabilization shifts the oxygen dissociation curve to the right, promoting the release of oxygen from hemoglobin in the tissues. Other things that shift the curve to the right are increased CO2, an acidotic state, high altitude, etc.