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

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Solution for 6x/(x-3)-5/x equation: 


D( x )

x = 0

x-3 = 0

x = 0

x = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x in (-oo:0) U (0:3) U (3:+oo)

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

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

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

(6*x*x)/(x*(x-3))+(-5*(x-3))/(x*(x-3)) = 0

6*x*x-5*(x-3) = 0

6*x^2-5*x+15 = 0

6*x^2-5*x+15 = 0

6*x^2-5*x+15 = 0

DELTA = (-5)^2-(4*6*15)

DELTA = -335

DELTA < 0

1 = 0

1/(x*(x-3)) = 0

1/(x*(x-3)) = 0 // * x*(x-3)

1 = 0

x belongs to the empty set

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