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

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Solution for x^2-x+1/2=-1/2 equation: 


x in (-oo:+oo)

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

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

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

x^2-x+1 = 0

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

DELTA = -3

DELTA < 0

x belongs to the empty set

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