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D( x )
x+5 = 0
x^2+4*x-5 = 0
x-1 = 0
x+5 = 0
x+5 = 0
x+5 = 0 // - 5
x = -5
x^2+4*x-5 = 0
x^2+4*x-5 = 0
x^2+4*x-5 = 0
DELTA = 4^2-(-5*1*4)
DELTA = 36
DELTA > 0
x = (36^(1/2)-4)/(1*2) or x = (-36^(1/2)-4)/(1*2)
x = 1 or x = -5
x-1 = 0
x-1 = 0
x-1 = 0 // + 1
x = 1
x in (-oo:-5) U (-5:1) U (1:+oo)
(x+1)/(x+5)-((x-3)/(x-1)) = (3*x-6)/(x^2+4*x-5) // - (3*x-6)/(x^2+4*x-5)
(x+1)/(x+5)-((x-3)/(x-1))-((3*x-6)/(x^2+4*x-5)) = 0
(x+1)/(x+5)+(-1*(x-3))/(x-1)+(-1*(3*x-6))/(x^2+4*x-5) = 0
x^2+4*x-5 = 0
x^2+4*x-5 = 0
x^2+4*x-5 = 0
DELTA = 4^2-(-5*1*4)
DELTA = 36
DELTA > 0
x = (36^(1/2)-4)/(1*2) or x = (-36^(1/2)-4)/(1*2)
x = 1 or x = -5
(x+5)*(x-1) = 0
(x+1)/(x+5)+(-1*(x-3))/(x-1)+(-1*(3*x-6))/((x+5)*(x-1)) = 0
((x+1)*(x-1))/((x+5)*(x-1))+(-1*(x-3)*(x+5))/((x+5)*(x-1))+(-1*(3*x-6))/((x+5)*(x-1)) = 0
(x+1)*(x-1)-1*(x-3)*(x+5)-1*(3*x-6) = 0
6-2*x-3*x+14 = 0
20-5*x = 0
(20-5*x)/((x+5)*(x-1)) = 0
(20-5*x)/((x+5)*(x-1)) = 0 // * (x+5)*(x-1)
20-5*x = 0
20-5*x = 0 // - 20
-5*x = -20 // : -5
x = -20/(-5)
x = 4
x = 4
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