(2/x+9)(-1/x-9)=2/x-81

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Solution for (2/x+9)(-1/x-9)=2/x-81 equation:


D( x )

x = 0

x = 0

x = 0

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

(2/x+9)*(-1/x-9) = 2/x-81 // - 2/x-81

(2/x+9)*(-1/x-9)-(2/x)+81 = 0

(2/x+9)*(-1/x-9)-2*x^-1+81 = 0

(2*x^-1+9)*(-x^-1-9)-2/x+81 = 0

(x*(2*x^-1+9)*(-x^-1-9))/x-2/x+(81*x)/x = 0

x*(2*x^-1+9)*(-x^-1-9)+81*x-2 = 0

81*x-81*x-2*x^-1-29 = 0

-2*x^-1-29 = 0

(-2*x^-1-29)/x = 0

(-2*x^-1-29)/x = 0 // * x

-2*x^-1-29 = 0

-2*x^-1 = 29 // : -2

x^-1 = -29/2

-1 < 0

1/(x^1) = -29/2 // * x^1

1 = -29/2*x^1 // : -29/2

-2/29 = x^1

x = -2/29

x = -2/29

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