(2/x-3)=(4/x-3)-(6x/x^2-9)

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Solution for (2/x-3)=(4/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)

2/x-3 = 4/x-((6*x)/(x^2))-3+9 // - 4/x-((6*x)/(x^2))-3+9

2/x-(4/x)+(6*x)/(x^2)-9-3+3 = 0

2/x-4*x^-1+(6*x)/(x^2)-9-3+3 = 0

4*x^-1 = 9 // : 4

x^-1 = 9/4

-1 < 0

1/(x^1) = 9/4 // * x^1

1 = 9/4*x^1 // : 9/4

4/9 = x^1

x = 4/9

x = 4/9

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