1/2-3/2x=4/x-5/12

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Solution for 1/2-3/2x=4/x-5/12 equation: 


D( x )

x = 0

x = 0

x = 0

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

1/2-((3/2)*x) = 4/x-(5/12) // - 4/x-(5/12)

1/2-((3/2)*x)-(4/x)+5/12 = 0

(-3/2)*x-4*x^-1+1/2+5/12 = 0

11/12*x^0-3/2*x^1-4*x^-1 = 0

(11/12*x^1-3/2*x^2-4*x^0)/(x^1) = 0 // * x^2

x^1*(11/12*x^1-3/2*x^2-4*x^0) = 0

x^1

(-3/2)*x^2+(11/12)*x-4 = 0

(-3/2)*x^2+(11/12)*x-4 = 0

DELTA = (11/12)^2-(-4*4*(-3/2))

DELTA = -3335/144

DELTA < 0

x in { } 

x belongs to the empty set

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