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D( x )
x = 0
x^2 = 0
x = 0
x = 0
x^2 = 0
x^2 = 0
1*x^2 = 0 // : 1
x^2 = 0
x = 0
x in (-oo:0) U (0:+oo)
6/x+2/x-5+5 = 84/(x^2)-25 // - 84/(x^2)-25
6/x+2/x-(84/(x^2))-5+5+25 = 0
6/x+2/x-84*x^-2-5+5+25 = 0
8*x^-1-84*x^-2+25 = 0
t_1 = x^-1
8*t_1^1-84*t_1^2+25 = 0
8*t_1-84*t_1^2+25 = 0
DELTA = 8^2-(-84*4*25)
DELTA = 8464
DELTA > 0
t_1 = (8464^(1/2)-8)/(-84*2) or t_1 = (-8464^(1/2)-8)/(-84*2)
t_1 = -1/2 or t_1 = 25/42
t_1 = -1/2
x^-1+1/2 = 0
1*x^-1 = -1/2 // : 1
x^-1 = -1/2
-1 < 0
1/(x^1) = -1/2 // * x^1
1 = -1/2*x^1 // : -1/2
-2 = x^1
x = -2
t_1 = 25/42
x^-1-25/42 = 0
1*x^-1 = 25/42 // : 1
x^-1 = 25/42
-1 < 0
1/(x^1) = 25/42 // * x^1
1 = 25/42*x^1 // : 25/42
42/25 = x^1
x = 42/25
x in { -2, 42/25 }
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