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x in (-oo:+oo)
((x-2)^3)/3-(9*x) = 0
((x-2)^3)/3-9*x = 0
((x-2)^3)/3+(-9*3*x)/3 = 0
(x-2)^3-9*3*x = 0
x^3-6*x^2-15*x-8 = 0
x^3-6*x^2-15*x-8 = 0
x^3-6*x^2-15*x-8 = 0
{ 1, -1, 2, -2, 4, -4, 8, -8 }
1
x = 1
x^3-6*x^2-15*x-8 = -28
1
-1
x = -1
x^3-6*x^2-15*x-8 = 0
-1
x+1
x^2-7*x-8
x^3-6*x^2-15*x-8
x+1
-x^3-x^2
-7*x^2-15*x-8
7*x^2+7*x
-8*x-8
8*x+8
0
x^2-7*x-8 = 0
DELTA = (-7)^2-(-8*1*4)
DELTA = 81
DELTA > 0
x = (81^(1/2)+7)/(1*2) or x = (7-81^(1/2))/(1*2)
x = 8 or x = -1
x in { -1, 8, -1}
(x+1)^2*(x-8) = 0
((x+1)^2*(x-8))/3 = 0
((x+1)^2*(x-8))/3 = 0 // * 3
(x+1)^2*(x-8) = 0
( x+1 )
x+1 = 0 // - 1
x = -1
( x-8 )
x-8 = 0 // + 8
x = 8
x in { -1, -1, 8 }
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