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D( x )
2-x = 0
5*x-10 = 0
2-x = 0
2-x = 0
2-x = 0 // - 2
-x = -2 // * -1
x = 2
5*x-10 = 0
5*x-10 = 0
5*x-10 = 0 // + 10
5*x = 10 // : 5
x = 10/5
x = 2
x in (-oo:2) U (2:+oo)
5/(5*x-10)+(x-3)/(2-x) = 0
(5*(2-x))/((5*x-10)*(2-x))+((x-3)*(5*x-10))/((5*x-10)*(2-x)) = 0
5*(2-x)+(x-3)*(5*x-10) = 0
5*x^2-30*x+40 = 0
5*x^2-30*x+40 = 0
5*(x^2-6*x+8) = 0
x^2-6*x+8 = 0
DELTA = (-6)^2-(1*4*8)
DELTA = 4
DELTA > 0
x = (4^(1/2)+6)/(1*2) or x = (6-4^(1/2))/(1*2)
x = 4 or x = 2
5*(x-2)*(x-4) = 0
(5*(x-2)*(x-4))/((5*x-10)*(2-x)) = 0
(5*(x-2)*(x-4))/((5*x-10)*(2-x)) = 0 // * (5*x-10)*(2-x)
5*(x-2)*(x-4) = 0
( x-2 )
x-2 = 0 // + 2
x = 2
( x-4 )
x-4 = 0 // + 4
x = 4
x in { 2}
x = 4
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