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x in (-oo:+oo)
x*((8*x^3-(6*x))/2) = 0
x*((8*x^3-6*x)/2) = 0
(x*(8*x^3-6*x))/2 = 0
8*x^3-6*x = 0
2*x*(4*x^2-3) = 0
4*x^2 = 3 // : 4
x^2 = 3/4
x^2 = 3/4 // ^ 1/2
abs(x) = (3/4)^(1/2)
x = (3/4)^(1/2) or x = -(3/4)^(1/2)
2*x*(x-(3/4)^(1/2))*(x+(3/4)^(1/2)) = 0
(2*x*x*(x-(3/4)^(1/2))*(x+(3/4)^(1/2)))/2 = 0
( 2*x )
2*x = 0 // : 2
x = 0
( x+(3/4)^(1/2) )
x+(3/4)^(1/2) = 0 // - (3/4)^(1/2)
x = -(3/4)^(1/2)
( x-(3/4)^(1/2) )
x-(3/4)^(1/2) = 0 // + (3/4)^(1/2)
x = (3/4)^(1/2)
( x )
x = 0
x in { 0, -(3/4)^(1/2), (3/4)^(1/2), 0 }
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