That is the art of wrenching, understanding all the tools and methods that can be brought to bear, what order to use them and just how to do it. Can't tell you how many times my 1/2" drive, 650 ft/lb Snap-On air impact wouldn't budge something that a big breaker bar (often with a pipe slipped over it for more leverage) would, after a few choice whacks with a hand sledge on the fastener to help break the bonds.
Perhaps ost important is to use a good fitting quality tool so as not to tear up the fastener head. Once that happens it really gets fun.
For last ditch, the "hot wrench" (oxy/acetylene torch) has come out to concentrate some expanding heat to the part I need to have let go of the fastener many a time. Key is to isolate the part to prevent collateral damage and pay attention to the material and it's properties such as to not compromise any hardening etc. For that technique it would involve stripping and removing the spindle from the car, too much under there that doesn't want to be that hot.
Better to try everything else first!