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D( x )
5*x-6 = 0
4*x+9 = 0
5*x-6 = 0
5*x-6 = 0
5*x-6 = 0 // + 6
5*x = 6 // : 5
x = 6/5
4*x+9 = 0
4*x+9 = 0
4*x+9 = 0 // - 9
4*x = -9 // : 4
x = -9/4
x in (-oo:-9/4) U (-9/4:6/5) U (6/5:+oo)
(2*x-5)/(4*x+9)-((5*x-2)/(5*x-6)) = 0
(2*x-5)/(4*x+9)+(-1*(5*x-2))/(5*x-6) = 0
((2*x-5)*(5*x-6))/((4*x+9)*(5*x-6))+(-1*(5*x-2)*(4*x+9))/((4*x+9)*(5*x-6)) = 0
(2*x-5)*(5*x-6)-1*(5*x-2)*(4*x+9) = 0
48-10*x^2-74*x = 0
48-10*x^2-74*x = 0
2*(24-5*x^2-37*x) = 0
24-5*x^2-37*x = 0
DELTA = (-37)^2-(-5*4*24)
DELTA = 1849
DELTA > 0
x = (1849^(1/2)+37)/(-5*2) or x = (37-1849^(1/2))/(-5*2)
x = -8 or x = 3/5
2*(x+8)*(x-3/5) = 0
(2*(x+8)*(x-3/5))/((4*x+9)*(5*x-6)) = 0
(2*(x+8)*(x-3/5))/((4*x+9)*(5*x-6)) = 0 // * (4*x+9)*(5*x-6)
2*(x+8)*(x-3/5) = 0
( x+8 )
x+8 = 0 // - 8
x = -8
( x-3/5 )
x-3/5 = 0 // + 3/5
x = 3/5
x in { -8, 3/5 }
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