1/3x=8/9x^2

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Solution for 1/3x=8/9x^2 equation: 


x in (-oo:+oo)

(1/3)*x = (8/9)*x^2 // - (8/9)*x^2

(1/3)*x-((8/9)*x^2) = 0

(-8/9)*x^2+(1/3)*x = 0

1/3*x-8/9*x^2 = 0

DELTA = (1/3)^2-(-8/9*0*4)

DELTA = 1/9

DELTA > 0

x = ((1/9)^(1/2)-1/3)/(-8/9*2) or x = (-(1/9)^(1/2)-1/3)/(-8/9*2)

x = 0 or x = 3/8

x in { 0, 3/8 }

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