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

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


D( x )

x = 0

x = 0

x = 0

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

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

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

4*x+4/x-3/5-2 = 0

4*x^1+4*x^-1-13/5*x^0 = 0

(4*x^2-13/5*x^1+4*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^2-13/5*x^1+4*x^0) = 0

x^1

4*x^2+(-13/5)*x+4 = 0

4*x^2+(-13/5)*x+4 = 0

DELTA = (-13/5)^2-(4*4*4)

DELTA = -1431/25

DELTA < 0

x in { } 

x belongs to the empty set

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