x^2-2/3=x-1/2-1/6

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Solution for x^2-2/3=x-1/2-1/6 equation: 


x in (-oo:+oo)

x^2-(2/3) = x-(1/2)-(1/6) // - x-(1/2)-(1/6)

x^2-x-(2/3)+1/2+1/6 = 0

x^2-x-2/3+1/2+1/6 = 0

x^2-x = 0

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

DELTA = 1

DELTA > 0

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

x = 1 or x = 0

x in { 0, 1 }

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