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