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D( x )
x^2-(6*x) = 0
x-6 = 0
x = 0
x^2-(6*x) = 0
x^2-(6*x) = 0
x^2-6*x = 0
x^2-6*x = 0
DELTA = (-6)^2-(0*1*4)
DELTA = 36
DELTA > 0
x = (36^(1/2)+6)/(1*2) or x = (6-36^(1/2))/(1*2)
x = 6 or x = 0
x-6 = 0
x-6 = 0
x-6 = 0 // + 6
x = 6
x = 0
x = 0
x in (-oo:0) U (0:6) U (6:+oo)
(6*x)/(x-6)-(4/x) = 24/(x^2-(6*x)) // - 24/(x^2-(6*x))
(6*x)/(x-6)-(24/(x^2-(6*x)))-(4/x) = 0
(6*x)/(x-6)-24*(x^2-6*x)^-1-4*x^-1 = 0
(6*x)/(x-6)-24/(x^2-6*x)-4/x = 0
x^2-6*x = 0
x^2-6*x = 0
x*(x-6) = 0
x-6 = 0 // + 6
x = 6
x*(x-6) = 0
(6*x)/(x-6)-24/(x*(x-6))-4/x = 0
(6*x*x)/(x*(x-6))-24/(x*(x-6))+(-4*(x-6))/(x*(x-6)) = 0
6*x*x-4*(x-6)-24 = 0
6*x^2-4*x-24+24 = 0
6*x^2-4*x = 0
6*x^2-4*x = 0
2*x*(3*x-2) = 0
3*x-2 = 0 // + 2
3*x = 2 // : 3
x = 2/3
2*x*(x-2/3) = 0
(2*x*(x-2/3))/(x*(x-6)) = 0
(2*x*(x-2/3))/(x*(x-6)) = 0 // * x*(x-6)
2*x*(x-2/3) = 0
( 2*x )
2*x = 0 // : 2
x = 0
( x-2/3 )
x-2/3 = 0 // + 2/3
x = 2/3
x in { 0}
x = 2/3
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