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x in (-oo:+oo)
x^2*((24*x^5+8*x^4-(16*x^3))/8) = 0
x^2*((24*x^5+8*x^4-16*x^3)/8) = 0
(x^2*(24*x^5+8*x^4-16*x^3))/8 = 0
24*x^5+8*x^4-16*x^3 = 0
8*x^3*(3*x^2+x-2) = 0
3*x^2+x-2 = 0
DELTA = 1^2-(-2*3*4)
DELTA = 25
DELTA > 0
x = (25^(1/2)-1)/(2*3) or x = (-25^(1/2)-1)/(2*3)
x = 2/3 or x = -1
8*x^3*(x+1)*(x-2/3) = 0
(8*x^2*x^3*(x+1)*(x-2/3))/8 = 0
( 8*x^3 )
8*x^3 = 0 // : 8
x^3 = 0
x = 0
( x+1 )
x+1 = 0 // - 1
x = -1
( x-2/3 )
x-2/3 = 0 // + 2/3
x = 2/3
( x^2 )
1*x^2 = 0 // : 1
x^2 = 0
x = 0
x in { 0, -1, 2/3, 0 }
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