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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(2*x*(x^2-(4*x)))/x-4 = 0
(2*x*(x^2-4*x))/x-4 = 0
(2*x*(x^2-4*x))/x+(-4*x)/x = 0
2*x*(x^2-4*x)-4*x = 0
2*x^3-8*x^2-4*x = 0
2*x^3-8*x^2-4*x = 0
2*x*(x^2-4*x-2) = 0
x^2-4*x-2 = 0
DELTA = (-4)^2-(-2*1*4)
DELTA = 24
DELTA > 0
x = (24^(1/2)+4)/(1*2) or x = (4-24^(1/2))/(1*2)
x = (2*6^(1/2)+4)/2 or x = (4-2*6^(1/2))/2
2*x*(x-((4-2*6^(1/2))/2))*(x-((2*6^(1/2)+4)/2)) = 0
(2*x*(x-((4-2*6^(1/2))/2))*(x-((2*6^(1/2)+4)/2)))/x = 0
(2*x*(x-((4-2*6^(1/2))/2))*(x-((2*6^(1/2)+4)/2)))/x = 0 // * x
2*x*(x-((4-2*6^(1/2))/2))*(x-((2*6^(1/2)+4)/2)) = 0
( 2*x )
2*x = 0 // : 2
x = 0
( x-((2*6^(1/2)+4)/2) )
x-((2*6^(1/2)+4)/2) = 0 // + (2*6^(1/2)+4)/2
x = (2*6^(1/2)+4)/2
( x-((4-2*6^(1/2))/2) )
x-((4-2*6^(1/2))/2) = 0 // + (4-2*6^(1/2))/2
x = (4-2*6^(1/2))/2
x in { 0}
x in { (2*6^(1/2)+4)/2, (4-2*6^(1/2))/2 }
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