2/3x=3/4x^2

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Solution for 2/3x=3/4x^2 equation: 


x in (-oo:+oo)

(2/3)*x = (3/4)*x^2 // - (3/4)*x^2

(2/3)*x-((3/4)*x^2) = 0

(-3/4)*x^2+(2/3)*x = 0

2/3*x-3/4*x^2 = 0

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

DELTA = 4/9

DELTA > 0

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

x = 0 or x = 8/9

x in { 0, 8/9 }

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