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D( x )
x^2 = 0
x^2 = 0
x^2 = 0
1*x^2 = 0 // : 1
x^2 = 0
x = 0
x in (-oo:0) U (0:+oo)
1-(12*x)-((8*x)/(x^2))-28 = 0
1-12*x-8*x^-1-28 = 0
-12*x^1-8*x^-1-27*x^0 = 0
(-12*x^2-27*x^1-8*x^0)/(x^1) = 0 // * x^2
x^1*(-12*x^2-27*x^1-8*x^0) = 0
x^1
-12*x^2-27*x-8 = 0
-12*x^2-27*x-8 = 0
DELTA = (-27)^2-(-12*(-8)*4)
DELTA = 345
DELTA > 0
x = (345^(1/2)+27)/(-12*2) or x = (27-345^(1/2))/(-12*2)
x = (345^(1/2)+27)/(-24) or x = (27-345^(1/2))/(-24)
x in { (345^(1/2)+27)/(-24), (27-345^(1/2))/(-24)}
x in { (345^(1/2)+27)/(-24), (27-345^(1/2))/(-24) }
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