3a^2/2=1/2-a

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Solution for 3a^2/2=1/2-a equation: 


a in (-oo:+oo)

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

(3*a^2)/2+a-(1/2) = 0

(3*a^2)/2+a-1/2 = 0

3/2*a^2+a-1/2 = 0

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

DELTA = 4

DELTA > 0

a = (4^(1/2)-1)/(3/2*2) or a = (-4^(1/2)-1)/(3/2*2)

a = 1/3 or a = -1

a in { -1, 1/3 }

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