1/x-3=6x/x^2-9

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Solution for 1/x-3=6x/x^2-9 equation: 


D( x )

x = 0

x^2 = 0

x = 0

x = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

1/x-3 = (6*x)/(x^2)-9 // - (6*x)/(x^2)-9

1/x-((6*x)/(x^2))-3+9 = 0

1/x-6*x^-1-3+9 = 0

-5*x^-1 = -6 // : -5

x^-1 = 6/5

-1 < 0

1/(x^1) = 6/5 // * x^1

1 = 6/5*x^1 // : 6/5

5/6 = x^1

x = 5/6

x = 5/6

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