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D( x )
x-6 = 0
x-6 = 0
x-6 = 0
x-6 = 0 // + 6
x = 6
x in (-oo:6) U (6:+oo)
(((x^2+10*x+16)/(x-6))*(x^2-(3*x)-10))/(x-6) = 0
(((x^2+10*x+16)/(x-6))*(x^2-3*x-10))/(x-6) = 0
((x^2+10*x+16)*(x^2-3*x-10))/((x-6)^2) = 0
x^2+10*x+16 = 0
x^2+10*x+16 = 0
DELTA = 10^2-(1*4*16)
DELTA = 36
DELTA > 0
x = (36^(1/2)-10)/(1*2) or x = (-36^(1/2)-10)/(1*2)
x = -2 or x = -8
(x+8)*(x+2) = 0
x^2-3*x-10 = 0
x^2-3*x-10 = 0
DELTA = (-3)^2-(-10*1*4)
DELTA = 49
DELTA > 0
x = (49^(1/2)+3)/(1*2) or x = (3-49^(1/2))/(1*2)
x = 5 or x = -2
(x+2)*(x-5) = 0
((x+8)*(x+2)^2*(x-5))/((x-6)^2) = 0
( x+2 )
x+2 = 0 // - 2
x = -2
( x+8 )
x+8 = 0 // - 8
x = -8
( x-5 )
x-5 = 0 // + 5
x = 5
x in { -2, -2, -8, 5 }
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