(5/x+6)-(3/x-6)=(5x/x^2-36)

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Solution for (5/x+6)-(3/x-6)=(5x/x^2-36) 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)

5/x-(3/x)+6+6 = (5*x)/(x^2)-36 // - (5*x)/(x^2)-36

5/x-(3/x)-((5*x)/(x^2))+6+6+36 = 0

5/x-3*x^-1-5*x^-1+6+6+36 = 0

-3*x^-1 = -48 // : -3

x^-1 = 16

-1 < 0

1/(x^1) = 16 // * x^1

1 = 16*x^1 // : 16

1/16 = x^1

x = 1/16

x = 1/16

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