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x in (-oo:+oo)
(1/8)*x^3-((1/2)*x) = 6 // - 6
(1/8)*x^3-((1/2)*x)-6 = 0
(1/8)*x^3+(-1/2)*x-6 = 0
(1/8)*x^3+(-1/2)*x-6 = 0
(1/8)*x^3+(-1/2)*x-6 = 0 // * 0
{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 12, -12, 16, -16, 24, -24, 48, -48 }
1
x = 1
x^3-4*x-48 = -51
1
-1
x = -1
x^3-4*x-48 = -45
-1
2
x = 2
x^3-4*x-48 = -48
2
-2
x = -2
x^3-4*x-48 = -48
-2
3
x = 3
x^3-4*x-48 = -33
3
-3
x = -3
x^3-4*x-48 = -63
-3
4
x = 4
x^3-4*x-48 = 0
4
x-4
x^2+4*x+12
x^3-4*x-48
x-4
4*x^2-x^3
4*x^2-4*x-48
16*x-4*x^2
12*x-48
48-12*x
0
x^2+4*x+12 = 0
DELTA = 4^2-(1*4*12)
DELTA = -32
DELTA < 0
x in { 4}
x = 4
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