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D( x )
x-5 = 0
x-2 = 0
x-5 = 0
x-5 = 0
x-5 = 0 // + 5
x = 5
x-2 = 0
x-2 = 0
x-2 = 0 // + 2
x = 2
x in (-oo:2) U (2:5) U (5:+oo)
(2*x)/(x-5) = (3*x)/(x-2)-(2/3) // - (3*x)/(x-2)-(2/3)
(2*x)/(x-5)-((3*x)/(x-2))+2/3 = 0
(2*x)/(x-5)-3*x*(x-2)^-1+2/3 = 0
(2*x)/(x-5)+(-3*x)/(x-2)+2/3 = 0
(2*3*x*(x-2))/(3*(x-5)*(x-2))+(-3*3*x*(x-5))/(3*(x-5)*(x-2))+(2*(x-5)*(x-2))/(3*(x-5)*(x-2)) = 0
2*3*x*(x-2)-3*3*x*(x-5)+2*(x-5)*(x-2) = 0
2*x^2-3*x^2+33*x-14*x+20 = 0
19*x-x^2+20 = 0
19*x-x^2+20 = 0
19*x-x^2+20 = 0
DELTA = 19^2-(-1*4*20)
DELTA = 441
DELTA > 0
x = (441^(1/2)-19)/(-1*2) or x = (-441^(1/2)-19)/(-1*2)
x = -1 or x = 20
(x+1)*(x-20) = 0
((x+1)*(x-20))/(3*(x-5)*(x-2)) = 0
((x+1)*(x-20))/(3*(x-5)*(x-2)) = 0 // * 3*(x-5)*(x-2)
(x+1)*(x-20) = 0
( x+1 )
x+1 = 0 // - 1
x = -1
( x-20 )
x-20 = 0 // + 20
x = 20
x in { -1, 20 }
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