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D( x )
x = 0
200-x = 0
x = 0
x = 0
200-x = 0
200-x = 0
200-x = 0 // - 200
-x = -200 // * -1
x = 200
x in (-oo:0) U (0:200) U (200:+oo)
1/x = 1/32-(1/(200-x)) // - 1/32-(1/(200-x))
1/(200-x)+1/x-(1/32) = 0
1/(200-x)+1/x-1/32 = 0
(1*32*x)/(32*x*(200-x))+(1*32*(200-x))/(32*x*(200-x))+(-1*x*(200-x))/(32*x*(200-x)) = 0
1*32*(200-x)-1*x*(200-x)+1*32*x = 0
x^2-200*x+6400 = 0
x^2-200*x+6400 = 0
x^2-200*x+6400 = 0
DELTA = (-200)^2-(1*4*6400)
DELTA = 14400
DELTA > 0
x = (14400^(1/2)+200)/(1*2) or x = (200-14400^(1/2))/(1*2)
x = 160 or x = 40
(x-40)*(x-160) = 0
((x-40)*(x-160))/(32*x*(200-x)) = 0
((x-40)*(x-160))/(32*x*(200-x)) = 0 // * 32*x*(200-x)
(x-40)*(x-160) = 0
( x-160 )
x-160 = 0 // + 160
x = 160
( x-40 )
x-40 = 0 // + 40
x = 40
x in { 160, 40 }
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