3x^2+x=(1/2)

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Solution for 3x^2+x=(1/2) equation: 


x in (-oo:+oo)

3*x^2+x = 1/2 // - 1/2

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

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

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

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

DELTA = 7

DELTA > 0

x = (7^(1/2)-1)/(2*3) or x = (-7^(1/2)-1)/(2*3)

x = (7^(1/2)-1)/6 or x = (-(7^(1/2)+1))/6

x in { (-(7^(1/2)+1))/6, (7^(1/2)-1)/6 }

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