x^2=(-1/2)x

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


x in (-oo:+oo)

x^2 = (-1/2)*x // - (-1/2)*x

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

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

x^2+1/2*x = 0

DELTA = (1/2)^2-(0*1*4)

DELTA = 1/4

DELTA > 0

x = ((1/4)^(1/2)-1/2)/(1*2) or x = (-(1/4)^(1/2)-1/2)/(1*2)

x = 0 or x = -1/2

x in { -1/2, 0 }

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