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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
8/x-((3/2)*x) = 2/5 // - 2/5
8/x-((3/2)*x)-(2/5) = 0
(-3/2)*x+8/x-2/5 = 0
8*x^-1-3/2*x^1-2/5*x^0 = 0
(8*x^0-3/2*x^2-2/5*x^1)/(x^1) = 0 // * x^2
x^1*(8*x^0-3/2*x^2-2/5*x^1) = 0
x^1
(-3/2)*x^2+(-2/5)*x+8 = 0
(-3/2)*x^2+(-2/5)*x+8 = 0
DELTA = (-2/5)^2-(4*8*(-3/2))
DELTA = 1204/25
DELTA > 0
x = ((1204/25)^(1/2)-(-2/5))/(2*(-3/2)) or x = (-(-2/5)-(1204/25)^(1/2))/(2*(-3/2))
x = ((1204/25)^(1/2)+2/5)/(-3) or x = (2/5-(1204/25)^(1/2))/(-3)
x in { ((1204/25)^(1/2)+2/5)/(-3), (2/5-(1204/25)^(1/2))/(-3)}
x in { ((1204/25)^(1/2)+2/5)/(-3), (2/5-(1204/25)^(1/2))/(-3) }
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