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D( x )
x^2 = 0
x^2 = 0
x^2 = 0
1*x^2 = 0 // : 1
x^2 = 0
x = 0
x in (-oo:0) U (0:+oo)
12*x-(768/(x^2)) = 0
12*x-768*x^-2 = 0
12*x^1-768*x^-2 = 0
(12*x^3-768*x^0)/(x^2) = 0 // * x^4
x^2*(12*x^3-768*x^0) = 0
x^2
12*x^3-768 = 0
{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 12, -12, 16, -16, 24, -24, 32, -32, 48, -48, 64, -64, 96, -96, 128, -128, 192, -192, 256, -256, 384, -384, 768, -768 }
1
x = 1
12*x^3-768 = -756
1
-1
x = -1
12*x^3-768 = -780
-1
2
x = 2
12*x^3-768 = -672
2
-2
x = -2
12*x^3-768 = -864
-2
3
x = 3
12*x^3-768 = -444
3
-3
x = -3
12*x^3-768 = -1092
-3
4
x = 4
12*x^3-768 = 0
4
x-4
12*x^2+48*x+192
12*x^3-768
x-4
48*x^2-12*x^3
48*x^2-768
192*x-48*x^2
192*x-768
768-192*x
0
12*x^2+48*x+192 = 0
DELTA = 48^2-(4*12*192)
DELTA = -6912
DELTA < 0
x in { 4}
x = 4
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