4/x-5/3=x/6

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Solution for 4/x-5/3=x/6 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

4/x-(5/3) = x/6 // - x/6

4/x-(x/6)-(5/3) = 0

4/x-(x/6)-5/3 = 0

4*x^-1-1/6*x^1-5/3*x^0 = 0

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

x^1*(4*x^0-1/6*x^2-5/3*x^1) = 0

x^1

(-1/6)*x^2+(-5/3)*x+4 = 0

(-1/6)*x^2+(-5/3)*x+4 = 0

DELTA = (-5/3)^2-(4*4*(-1/6))

DELTA = 49/9

DELTA > 0

x = ((49/9)^(1/2)-(-5/3))/(2*(-1/6)) or x = (-(-5/3)-(49/9)^(1/2))/(2*(-1/6))

x = -12 or x = 2

x in { -12, 2} 

x in { -12, 2 }

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