When I was using the tool that came with the tractor, I was able to make the adjustments as laid out in the manual to level the deck. Using that tool alone, it was right where it was supposed to be. Unfortunately it also masked the real problem with the cut quality.
I have come to believe that little tool that comes with the tractor is fine for making quick checks, but to do it right, the yellow tool or an equivalent is required.
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I wouldn't be a bit surprised to learn that the "deck tool" which is provided with the tractor is to speed the set up of new machines at the dealership and also for first time or newer machine owners. Let's face it, most people simply want the grass cut and many don't really know the difference between a real precision cut and a general mowing...........if the grass is shorter when they are done, they are happy.
You have taken the time to set up the deck to its precision adjustment level, for the optimal cut. Most won't ever do this. Unless you strike something with the deck, it should remain in adjustment as the lift parts don't wear out quickly on most residential use machines.
By the way, your lawn looks excellent. Great job....!
I think as you grow comfortable and familiar with the new machine, the areas mowed with the push mower will shrink and the areas cut with your tractor will expand it's use, which is one of the reasons you own it.
Good job on the mower set up. Now, the machine is truly capable of producing the results you desire. And clearly, your standards are higher than most, which I certainly can appreciate.