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D( x )
x+1 = 0
5*x-1 = 0
x+3 = 0
x+1 = 0
x+1 = 0
x+1 = 0 // - 1
x = -1
5*x-1 = 0
5*x-1 = 0
5*x-1 = 0 // + 1
5*x = 1 // : 5
x = 1/5
x+3 = 0
x+3 = 0
x+3 = 0 // - 3
x = -3
x in (-oo:-3) U (-3:-1) U (-1:1/5) U (1/5:+oo)
X/(x+1)-(1/(x+3)) = 1/(5*x-1) // - 1/(5*x-1)
X/(x+1)-(1/(x+3))-(1/(5*x-1)) = 0
X/(x+1)-(x+3)^-1-(5*x-1)^-1 = 0
X/(x+1)-1/(x+3)-1/(5*x-1) = 0
(X*(x+3)*(5*x-1))/((x+1)*(x+3)*(5*x-1))+(-1*(x+1)*(5*x-1))/((x+1)*(x+3)*(5*x-1))+(-1*(x+1)*(x+3))/((x+1)*(x+3)*(5*x-1)) = 0
X*(x+3)*(5*x-1)-1*(x+1)*(5*x-1)-1*(x+1)*(x+3) = 0
5*X*x^2+14*X*x-3*X-5*x^2-x^2-4*x-4*x-3+1 = 0
5*X*x^2+14*X*x-3*X-6*x^2-8*x-2 = 0
(5*X*x^2+14*X*x-3*X-6*x^2-8*x-2)/((x+1)*(x+3)*(5*x-1)) = 0
(5*X*x^2+14*X*x-3*X-6*x^2-8*x-2)/((x+1)*(x+3)*(5*x-1)) = 0 // * (x+1)*(x+3)*(5*x-1)
5*X*x^2+14*X*x-3*X-6*x^2-8*x-2 = 0
-3*X-6*x^2-8*x-2 = 0
DELTA = (-8)^2-(-6*4*(-3*X-2))
DELTA = 24*(-3*X-2)+64
24*(-3*X-2)+64 = 0
24*(-3*X-2)+64 = 0
16-72*X = 0
16-72*X = 0
16-72*X = 0 // - 16
-72*X = -16 // : -72
X = -16/(-72)
X = 2/9
DELTA = 0 <=> t_3 = 2/9
x = 8/(-6*2) i X = 2/9
x = -2/3 i X = 2/9
( x = ((24*(-3*X-2)+64)^(1/2)+8)/(-6*2) or x = (8-(24*(-3*X-2)+64)^(1/2))/(-6*2) ) i X > 2/9
( x = ((24*(-3*X-2)+64)^(1/2)+8)/(-12) or x = (8-(24*(-3*X-2)+64)^(1/2))/(-12) ) i X > 2/9
X-2/9 > 0
X-2/9 > 0 // + 2/9
X > 2/9
x in { -2/3, ((24*(-3*X-2)+64)^(1/2)+8)/(-12), (8-(24*(-3*X-2)+64)^(1/2))/(-12) }
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