x^2=(8/9)x

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Solution for x^2=(8/9)x equation: 


x in (-oo:+oo)

x^2 = (8/9)*x // - (8/9)*x

x^2-((8/9)*x) = 0

x^2+(-8/9)*x = 0

x^2-8/9*x = 0

DELTA = (-8/9)^2-(0*1*4)

DELTA = 64/81

DELTA > 0

x = ((64/81)^(1/2)+8/9)/(1*2) or x = (8/9-(64/81)^(1/2))/(1*2)

x = 8/9 or x = 0

x in { 0, 8/9 }

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