4/x=1/6-2/3x

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Solution for 4/x=1/6-2/3x equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = -383/36

DELTA < 0

x in { } 

x belongs to the empty set

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