Richard is correct about the removal and replacement of the wall being the only realiastic way to correct the problem.
You failure was probably caused by several different factors.
1. Insufficient wall thickness for an unreinforced basement wall.
2. The possibility of a "surcharge" on the soil from a near-by driveway that increased the lateral load on the wall.
3. The wall in question did not benefit from carrying the first (and maybe only)floor loads that actually increase the lateral capacity. The walls perpendicular had mor vertical loads and were more stable.
Patching the wall joint does nothing to give any strength to the wall. One you got the horizontal crack in the mortar joint (no matter whether hairline or 3/8"), the wall lost its strength.
Buttresses inside are a possiblity, but they eat up space and are costly.
Buttresses outside are a possibility, but they would have to extend outward a greater distance than interior buttresses.
Pilasters are also a possiblity, but that would require a major re-build of the wall and pilasters are not effective for stiffening a long wall unless they are spaced closely.
Tiebacks and anchors are another possiblity, but the wall must be straightened before the anchors are installed. The size, spacing and effectiveness obviously depend on the properties of the soil. Some sands have good shear strength, while others are only good if confined.
Replacing the wall is the most straight forward and common solution with major bowing. The existing footing should be able to be reused. The two choices are a reininforced(4'on center) 8" concrete block wall or a 12" block wall. Going from the normal 12" hollow block to a 75% solid 12" unit provides little additional strength and most codes allow both for your probable situation.
If you have driveway close to the house it might be good to call an engineer even if your permit does not require it.
I hope this has given you a little information to consider.
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