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x in (-oo:+oo)
x*((5*x^2-30)/150) = 1/6 // - 1/6
x*((5*x^2-30)/150)-(1/6) = 0
x*((5*x^2-30)/150)-1/6 = 0
(x*(5*x^2-30))/150-1/6 = 0
(6*x*(5*x^2-30))/(6*150)+(-1*150)/(6*150) = 0
6*x*(5*x^2-30)-1*150 = 0
30*x^3-180*x-150 = 0
30*x^3-180*x-150 = 0
30*(x^3-6*x-5) = 0
x^3-6*x-5 = 0
{ 1, -1, 5, -5 }
1
x = 1
x^3-6*x-5 = -10
1
-1
x = -1
x^3-6*x-5 = 0
-1
x+1
x^2-x-5
x^3-6*x-5
x+1
-x^3-x^2
-x^2-6*x-5
x^2+x
-5*x-5
5*x+5
0
x^2-x-5 = 0
DELTA = (-1)^2-(-5*1*4)
DELTA = 21
DELTA > 0
x = (21^(1/2)+1)/(1*2) or x = (1-21^(1/2))/(1*2)
x = (21^(1/2)+1)/2 or x = (1-21^(1/2))/2
x in { (1-21^(1/2))/2, (21^(1/2)+1)/2, -1}
30*(x-((1-21^(1/2))/2))*(x-((21^(1/2)+1)/2))*(x+1) = 0
(30*(x-((1-21^(1/2))/2))*(x-((21^(1/2)+1)/2))*(x+1))/(6*150) = 0
(30*(x-((1-21^(1/2))/2))*(x-((21^(1/2)+1)/2))*(x+1))/(6*150) = 0 // * 6*150
30*(x-((1-21^(1/2))/2))*(x-((21^(1/2)+1)/2))*(x+1) = 0
( x+1 )
x+1 = 0 // - 1
x = -1
( x-((1-21^(1/2))/2) )
x-((1-21^(1/2))/2) = 0 // + (1-21^(1/2))/2
x = (1-21^(1/2))/2
( x-((21^(1/2)+1)/2) )
x-((21^(1/2)+1)/2) = 0 // + (21^(1/2)+1)/2
x = (21^(1/2)+1)/2
x in { -1, (1-21^(1/2))/2, (21^(1/2)+1)/2 }
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