WoW When to use Slam

On the following website there is some math on whether to use the warrior ability Slam or not, namely the three inequalities. While I understand the first inequality:
[(Avg. Weap. Dam.)+140]*1/1.5 > [(Avg. Weap. Dam.)+176]*1/(Weap. Speed)
I am having difficulty understanding how the next two inequalities are derived and how they help in deciding on whether to use Slam or not:
(Avg. Weap. Dam.) > [264/(Weap. Speed) -140]/[1-1.5/(Weap. Speed)]
(Avg. Weap. Dam.) > [HS*1.5/(Weap. Speed) -S]/[1-1.5/(Weap. Speed)]
Can anyone help interpret this?
Best Answer
What the author is saying in the article you mentioned is, that he used basic arithmetic trasformations to get to the inequations below. If written as ratios it is more readable [substitution X for Avg. Weap Dam. and Y vor Waep Speed] i would recommend writing it down for clearity.
Operation used is written behind "|"
[X+140]*1/1.5 > [X+176]*1/Y |*1.5
<=> X+140 > [X+176]*1.5/Y
<=> X+140 > 1.5*X/Y + 264/Y | -1.5*X/Y
<=> X+140 - 1.5*X/Y > 264/Y | -140
<=> X - 1.5*X/Y > [264 - 140 Y]/Y
<=> (1 - 1,5/Y)*X > [264 - 140 Y]/Y
<=> X > [264 - 140 Y]/[Y*(1-1.5/Y)] = [264 - 140 Y]/[Y - 1.5*Y] = [264 - 140 Y]/[(1-1.5)*Y]
<=> X > [264 - 140 Y]/[-0.5*Y]
Now all he did to reach the 3rd equation is reintroduce that 264 = HS*1.5 and 140 = S for Heroic Strike's and Slam's bonus damage respectively. Leaving you with the desired equation.
And finally the author is saying that if your pair of Weap Speed and Avg Dmg fulfill this inequality you should use Slam instead of HS.
Feel free to ask for details.
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What is the point of slam wow?
The point is that it has no point. A lowbie Warrior will use Slam because that's all they have. Then when you pick a spec, Arms will keep using it while Fury and Prot will graduate into other abilities. But now Slam gets left in the spellbook as a legacy of those early levels instead of being pruned away.Do you ever use Slam as fury?
Slam serves as an extra filler attack, but because it has a Rage cost, Fury Warriors will virtually never use it.Do you ever use Slam as arms warrior?
As most of us will know, Slam is a filler ability for Arms warriors. It costs 20 rage and does a really, really, really tiny amount of damage. It's used when nothing else is available.Is slam better than heroic strike?
As a general rule of thumb: if your weapon speed is greater than 2, Slam is preferred over Heroic Strike.How to play 2H Fury (Slam) - WoW Classic
Sources: Stack Exchange - This article follows the attribution requirements of Stack Exchange and is licensed under CC BY-SA 3.0.
Images: Andrea Piacquadio, Andrea Piacquadio, Budgeron Bach, Andrea Piacquadio