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x in (-oo:+oo)
((27*x^4)/8)*(1-(2*x)) = 0
((27*x^4)/8)*(1-2*x) = 0
27/8*x^4*(1-2*x) = 0
( 1-2*x )
1-2*x = 0 // - 1
-2*x = -1 // : -2
x = -1/(-2)
x = 1/2
( 27/8*x^4 )
27/8*x^4 = 0 // : 27/8
x^4 = 0
x = 0
x in { 1/2, 0 }
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