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D( x )
6*x+36 = 0
3*x+18 = 0
x+6 = 0
6*x+36 = 0
6*x+36 = 0
6*x+36 = 0 // - 36
6*x = -36 // : 6
x = -36/6
x = -6
3*x+18 = 0
3*x+18 = 0
3*x+18 = 0 // - 18
3*x = -18 // : 3
x = -18/3
x = -6
x+6 = 0
x+6 = 0
x+6 = 0 // - 6
x = -6
x in (-oo:-6) U (-6:+oo)
(-5*x)/(3*x+18) = (7*x)/(6*x+36)+(2*x-1)/(x+6) // - (7*x)/(6*x+36)+(2*x-1)/(x+6)
(-5*x)/(3*x+18)-((7*x)/(6*x+36))-((2*x-1)/(x+6)) = 0
(-5*x)/(3*x+18)-7*x*(6*x+36)^-1-((2*x-1)/(x+6)) = 0
(-5*x)/(3*x+18)+(-7*x)/(6*x+36)+(-1*(2*x-1))/(x+6) = 0
(-5*x*(6*x+36)*(x+6))/((3*x+18)*(6*x+36)*(x+6))+(-7*x*(3*x+18)*(x+6))/((3*x+18)*(6*x+36)*(x+6))+(-1*(2*x-1)*(3*x+18)*(6*x+36))/((3*x+18)*(6*x+36)*(x+6)) = 0
-5*x*(6*x+36)*(x+6)-7*x*(3*x+18)*(x+6)-1*(2*x-1)*(3*x+18)*(6*x+36) = 0
648-51*x^3-36*x^3-612*x^2-414*x^2-1836*x-1080*x = 0
648-87*x^3-1026*x^2-2916*x = 0
648-87*x^3-1026*x^2-2916*x = 0
3*(216-29*x^3-342*x^2-972*x) = 0
216-29*x^3-342*x^2-972*x = 0
{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 9, -9, 12, -12, 18, -18, 24, -24, 27, -27, 36, -36, 54, -54, 72, -72, 108, -108, 216, -216 }
1
x = 1
216-29*x^3-342*x^2-972*x = -1127
1
-1
x = -1
216-29*x^3-342*x^2-972*x = 875
-1
2
x = 2
216-29*x^3-342*x^2-972*x = -3328
2
-2
x = -2
216-29*x^3-342*x^2-972*x = 1024
-2
3
x = 3
216-29*x^3-342*x^2-972*x = -6561
3
-3
x = -3
216-29*x^3-342*x^2-972*x = 837
-3
4
x = 4
216-29*x^3-342*x^2-972*x = -11000
4
-4
x = -4
216-29*x^3-342*x^2-972*x = 488
-4
6
x = 6
216-29*x^3-342*x^2-972*x = -24192
6
-6
x = -6
216-29*x^3-342*x^2-972*x = 0
-6
x+6
36-29*x^2-168*x
216-29*x^3-342*x^2-972*x
x+6
29*x^3+174*x^2
216-168*x^2-972*x
168*x^2+1008*x
36*x+216
-36*x-216
0
36-29*x^2-168*x = 0
DELTA = (-168)^2-(-29*4*36)
DELTA = 32400
DELTA > 0
x = (32400^(1/2)+168)/(-29*2) or x = (168-32400^(1/2))/(-29*2)
x = -6 or x = 6/29
x in { -6, 6/29, -6}
3*(x+6)^2*(x-6/29) = 0
(3*(x+6)^2*(x-6/29))/((3*x+18)*(6*x+36)*(x+6)) = 0
(3*(x+6)^2*(x-6/29))/((3*x+18)*(6*x+36)*(x+6)) = 0 // * (3*x+18)*(6*x+36)*(x+6)
3*(x+6)^2*(x-6/29) = 0
( x+6 )
x+6 = 0 // - 6
x = -6
( x-6/29 )
x-6/29 = 0 // + 6/29
x = 6/29
x in { -6}
x = 6/29
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