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x in (-oo:+oo)
x*((6*x^2-12)/3)-4 = 2*x // - 2*x
x*((6*x^2-12)/3)-(2*x)-4 = 0
x*((6*x^2-12)/3)-2*x-4 = 0
(x*(6*x^2-12))/3-2*x-4 = 0
(x*(6*x^2-12))/3+(-2*3*x)/3+(-4*3)/3 = 0
x*(6*x^2-12)-2*3*x-4*3 = 0
6*x^3-18*x-12 = 0
6*x^3-18*x-12 = 0
6*(x^3-3*x-2) = 0
x^3-3*x-2 = 0
{ 1, -1, 2, -2 }
1
x = 1
x^3-3*x-2 = -4
1
-1
x = -1
x^3-3*x-2 = 0
-1
x+1
x^2-x-2
x^3-3*x-2
x+1
-x^3-x^2
-x^2-3*x-2
x^2+x
-2*x-2
2*x+2
0
x^2-x-2 = 0
DELTA = (-1)^2-(-2*1*4)
DELTA = 9
DELTA > 0
x = (9^(1/2)+1)/(1*2) or x = (1-9^(1/2))/(1*2)
x = 2 or x = -1
x in { -1, 2, -1}
6*(x+1)^2*(x-2) = 0
(6*(x+1)^2*(x-2))/3 = 0
(6*(x+1)^2*(x-2))/3 = 0 // * 3
6*(x+1)^2*(x-2) = 0
( 6 )
6 = 0
x belongs to the empty set
( x+1 )
x+1 = 0 // - 1
x = -1
( x-2 )
x-2 = 0 // + 2
x = 2
x in { -1, -1, 2 }
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