Jomax is made for strenghtening the effect of bleach by adding surfactants to release dirt and produce cling. It is an excellent product and does work, however at close to $20 a gallon, you would be better off using an injector such as the "x-jet" and using more bleach and a quality alkaline soap . Bleach alone is hard to get to stay on the wall long enough to kill the mildew and it doesn't do much for dirt. Jomax takes care of those problems by adding the needed surfactants to the bleach. There are cheaper products available that produce the same results. Most any liquid laundry detergent would do the same thing. Painters swear by the stuff, probably because paint stores push it and it is safer than trying to mix your on solution and possibly damaging something.
Les