(a^4+3a^3+2a^2)/4a^2

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Solution for (a^4+3a^3+2a^2)/4a^2 equation: 


a in (-oo:+oo)

a^2*((a^4+3*a^3+2*a^2)/4) = 0

(a^2*(a^4+3*a^3+2*a^2))/4 = 0

a^4+3*a^3+2*a^2 = 0

a^2*(a^2+3*a+2) = 0

a^2+3*a+2 = 0

DELTA = 3^2-(1*2*4)

DELTA = 1

DELTA > 0

a = (1^(1/2)-3)/(1*2) or a = (-1^(1/2)-3)/(1*2)

a = -1 or a = -2

a^2*(a+2)*(a+1) = 0

((a^2)^2*(a+2)*(a+1))/4 = 0

( a+1 )

a+1 = 0 // - 1

a = -1

( a+2 )

a+2 = 0 // - 2

a = -2

( a^2 )

1*a^2 = 0 // : 1

a^2 = 0

a = 0

a in { -1, -2, 0, 0 }

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