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a in (-oo:+oo)
a*((4*a^3+12*a^2+6*a)/2) = 0
(a*(4*a^3+12*a^2+6*a))/2 = 0
4*a^3+12*a^2+6*a = 0
2*a*(2*a^2+6*a+3) = 0
2*a^2+6*a+3 = 0
DELTA = 6^2-(2*3*4)
DELTA = 12
DELTA > 0
a = (12^(1/2)-6)/(2*2) or a = (-12^(1/2)-6)/(2*2)
a = (2*3^(1/2)-6)/4 or a = (-2*3^(1/2)-6)/4
2*a*(a-((-2*3^(1/2)-6)/4))*(a-((2*3^(1/2)-6)/4)) = 0
(2*a*a*(a-((-2*3^(1/2)-6)/4))*(a-((2*3^(1/2)-6)/4)))/2 = 0
( 2*a )
2*a = 0 // : 2
a = 0
( a-((-2*3^(1/2)-6)/4) )
a-((-2*3^(1/2)-6)/4) = 0 // + (-2*3^(1/2)-6)/4
a = (-2*3^(1/2)-6)/4
( a-((2*3^(1/2)-6)/4) )
a-((2*3^(1/2)-6)/4) = 0 // + (2*3^(1/2)-6)/4
a = (2*3^(1/2)-6)/4
( a )
a = 0
a in { 0, (-2*3^(1/2)-6)/4, (2*3^(1/2)-6)/4, 0 }
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