5/6x^2-1/3x=1/3x

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Solution for 5/6x^2-1/3x=1/3x equation: 


x in (-oo:+oo)

(5/6)*x^2-((1/3)*x) = (1/3)*x // - (1/3)*x

(5/6)*x^2-((1/3)*x)-((1/3)*x) = 0

(5/6)*x^2+(-1/3)*x+(-1/3)*x = 0

5/6*x^2-2/3*x = 0

DELTA = (-2/3)^2-(0*5/6*4)

DELTA = 4/9

DELTA > 0

x = ((4/9)^(1/2)+2/3)/(5/6*2) or x = (2/3-(4/9)^(1/2))/(5/6*2)

x = 4/5 or x = 0

x in { 0, 4/5 }

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