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D( x )
2*x-3 = 0
x-9 = 0
2*x-3 = 0
2*x-3 = 0
2*x-3 = 0 // + 3
2*x = 3 // : 2
x = 3/2
x-9 = 0
x-9 = 0
x-9 = 0 // + 9
x = 9
x in (-oo:3/2) U (3/2:9) U (9:+oo)
(3*x-4)/(2*x-3) = (x-16)/(x-9) // - (x-16)/(x-9)
(3*x-4)/(2*x-3)-((x-16)/(x-9)) = 0
(3*x-4)/(2*x-3)+(-1*(x-16))/(x-9) = 0
((3*x-4)*(x-9))/((2*x-3)*(x-9))+(-1*(x-16)*(2*x-3))/((2*x-3)*(x-9)) = 0
(3*x-4)*(x-9)-1*(x-16)*(2*x-3) = 0
x^2+4*x-12 = 0
x^2+4*x-12 = 0
x^2+4*x-12 = 0
DELTA = 4^2-(-12*1*4)
DELTA = 64
DELTA > 0
x = (64^(1/2)-4)/(1*2) or x = (-64^(1/2)-4)/(1*2)
x = 2 or x = -6
(x+6)*(x-2) = 0
((x+6)*(x-2))/((2*x-3)*(x-9)) = 0
((x+6)*(x-2))/((2*x-3)*(x-9)) = 0 // * (2*x-3)*(x-9)
(x+6)*(x-2) = 0
( x+6 )
x+6 = 0 // - 6
x = -6
( x-2 )
x-2 = 0 // + 2
x = 2
x in { -6, 2 }
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