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D( x )
x+6 = 0
2*x+12 = 0
4*x+24 = 0
x+6 = 0
x+6 = 0
x+6 = 0 // - 6
x = -6
2*x+12 = 0
2*x+12 = 0
2*x+12 = 0 // - 12
2*x = -12 // : 2
x = -12/2
x = -6
4*x+24 = 0
4*x+24 = 0
4*x+24 = 0 // - 24
4*x = -24 // : 4
x = -24/4
x = -6
x in (-oo:-6) U (-6:+oo)
(-5*x)/(2*x+12) = (2*x)/(4*x+24)+(6*x-4)/(x+6) // - (2*x)/(4*x+24)+(6*x-4)/(x+6)
(-5*x)/(2*x+12)-((2*x)/(4*x+24))-((6*x-4)/(x+6)) = 0
(-5*x)/(2*x+12)-2*x*(4*x+24)^-1-((6*x-4)/(x+6)) = 0
(-5*x)/(2*x+12)+(-2*x)/(4*x+24)+(-1*(6*x-4))/(x+6) = 0
(-5*x*(4*x+24)*(x+6))/((2*x+12)*(4*x+24)*(x+6))+(-2*x*(2*x+12)*(x+6))/((2*x+12)*(4*x+24)*(x+6))+(-1*(6*x-4)*(2*x+12)*(4*x+24))/((2*x+12)*(4*x+24)*(x+6)) = 0
-5*x*(4*x+24)*(x+6)-2*x*(2*x+12)*(x+6)-1*(6*x-4)*(2*x+12)*(4*x+24) = 0
1152-24*x^3-48*x^3-288*x^2-544*x^2-864*x-1344*x = 0
1152-72*x^3-832*x^2-2208*x = 0
1152-72*x^3-832*x^2-2208*x = 0
8*(144-9*x^3-104*x^2-276*x) = 0
144-9*x^3-104*x^2-276*x = 0
{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 9, -9, 12, -12, 16, -16, 18, -18, 24, -24, 36, -36, 48, -48, 72, -72, 144, -144 }
1
x = 1
144-9*x^3-104*x^2-276*x = -245
1
-1
x = -1
144-9*x^3-104*x^2-276*x = 325
-1
2
x = 2
144-9*x^3-104*x^2-276*x = -896
2
-2
x = -2
144-9*x^3-104*x^2-276*x = 352
-2
3
x = 3
144-9*x^3-104*x^2-276*x = -1863
3
-3
x = -3
144-9*x^3-104*x^2-276*x = 279
-3
4
x = 4
144-9*x^3-104*x^2-276*x = -3200
4
-4
x = -4
144-9*x^3-104*x^2-276*x = 160
-4
6
x = 6
144-9*x^3-104*x^2-276*x = -7200
6
-6
x = -6
144-9*x^3-104*x^2-276*x = 0
-6
x+6
24-9*x^2-50*x
144-9*x^3-104*x^2-276*x
x+6
9*x^3+54*x^2
144-50*x^2-276*x
50*x^2+300*x
24*x+144
-24*x-144
0
24-9*x^2-50*x = 0
DELTA = (-50)^2-(-9*4*24)
DELTA = 3364
DELTA > 0
x = (3364^(1/2)+50)/(-9*2) or x = (50-3364^(1/2))/(-9*2)
x = -6 or x = 4/9
x in { -6, 4/9, -6}
8*(x+6)^2*(x-4/9) = 0
(8*(x+6)^2*(x-4/9))/((2*x+12)*(4*x+24)*(x+6)) = 0
(8*(x+6)^2*(x-4/9))/((2*x+12)*(4*x+24)*(x+6)) = 0 // * (2*x+12)*(4*x+24)*(x+6)
8*(x+6)^2*(x-4/9) = 0
( x+6 )
x+6 = 0 // - 6
x = -6
( x-4/9 )
x-4/9 = 0 // + 4/9
x = 4/9
x in { -6}
x = 4/9
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