x^2=(5/9)x

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Solution for x^2=(5/9)x equation: 


x in (-oo:+oo)

x^2 = (5/9)*x // - (5/9)*x

x^2-((5/9)*x) = 0

x^2+(-5/9)*x = 0

x^2-5/9*x = 0

DELTA = (-5/9)^2-(0*1*4)

DELTA = 25/81

DELTA > 0

x = ((25/81)^(1/2)+5/9)/(1*2) or x = (5/9-(25/81)^(1/2))/(1*2)

x = 5/9 or x = 0

x in { 0, 5/9 }

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