3/5-8/3x=4/x

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Solution for 3/5-8/3x=4/x equation: 


D( x )

x = 0

x = 0

x = 0

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

3/5-((8/3)*x) = 4/x // - 4/x

3/5-((8/3)*x)-(4/x) = 0

(-8/3)*x-4*x^-1+3/5 = 0

3/5*x^0-8/3*x^1-4*x^-1 = 0

(3/5*x^1-8/3*x^2-4*x^0)/(x^1) = 0 // * x^2

x^1*(3/5*x^1-8/3*x^2-4*x^0) = 0

x^1

(-8/3)*x^2+(3/5)*x-4 = 0

(-8/3)*x^2+(3/5)*x-4 = 0

DELTA = (3/5)^2-(-4*4*(-8/3))

DELTA = -3173/75

DELTA < 0

x in { } 

x belongs to the empty set

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