x^2=-5/9x

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Solution for x^2=-5/9x 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 = (-(25/81)^(1/2)-5/9)/(1*2)

x = 0 or x = -5/9

x in { -5/9, 0 }

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