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x in (-oo:+oo)
x*((20*x^3-(8*x))/4) = 0
x*((20*x^3-8*x)/4) = 0
(x*(20*x^3-8*x))/4 = 0
20*x^3-8*x = 0
4*x*(5*x^2-2) = 0
5*x^2 = 2 // : 5
x^2 = 2/5
x^2 = 2/5 // ^ 1/2
abs(x) = (2/5)^(1/2)
x = (2/5)^(1/2) or x = -(2/5)^(1/2)
4*x*(x-(2/5)^(1/2))*(x+(2/5)^(1/2)) = 0
(4*x*x*(x-(2/5)^(1/2))*(x+(2/5)^(1/2)))/4 = 0
( 4*x )
4*x = 0 // : 4
x = 0
( x+(2/5)^(1/2) )
x+(2/5)^(1/2) = 0 // - (2/5)^(1/2)
x = -(2/5)^(1/2)
( x-(2/5)^(1/2) )
x-(2/5)^(1/2) = 0 // + (2/5)^(1/2)
x = (2/5)^(1/2)
( x )
x = 0
x in { 0, -(2/5)^(1/2), (2/5)^(1/2), 0 }
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