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D( x )
x+5 = 0
2*x-1 = 0
x+5 = 0
x+5 = 0
x+5 = 0 // - 5
x = -5
2*x-1 = 0
2*x-1 = 0
2*x-1 = 0 // + 1
2*x = 1 // : 2
x = 1/2
x in (-oo:-5) U (-5:1/2) U (1/2:+oo)
(3*x+2)/(2*x-1) = (x+14)/(x+5) // - (x+14)/(x+5)
(3*x+2)/(2*x-1)-((x+14)/(x+5)) = 0
(3*x+2)/(2*x-1)+(-1*(x+14))/(x+5) = 0
((3*x+2)*(x+5))/((2*x-1)*(x+5))+(-1*(x+14)*(2*x-1))/((2*x-1)*(x+5)) = 0
(3*x+2)*(x+5)-1*(x+14)*(2*x-1) = 0
x^2-10*x+24 = 0
x^2-10*x+24 = 0
x^2-10*x+24 = 0
DELTA = (-10)^2-(1*4*24)
DELTA = 4
DELTA > 0
x = (4^(1/2)+10)/(1*2) or x = (10-4^(1/2))/(1*2)
x = 6 or x = 4
(x-4)*(x-6) = 0
((x-4)*(x-6))/((2*x-1)*(x+5)) = 0
((x-4)*(x-6))/((2*x-1)*(x+5)) = 0 // * (2*x-1)*(x+5)
(x-4)*(x-6) = 0
( x-4 )
x-4 = 0 // + 4
x = 4
( x-6 )
x-6 = 0 // + 6
x = 6
x in { 4, 6 }
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