(5x+8/x^2-81)-(4x-1/x^2-81)

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Solution for (5x+8/x^2-81)-(4x-1/x^2-81) equation: 


D( x )

x^2 = 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-(4*x)+8/(x^2)+1/(x^2)-81+81 = 0

5*x-4*x+8/(x^2)+1/(x^2)-81+81 = 0

x+9*x^-2 = 0

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

9*x^-3 = -1 // : 9

x^-3 = -1/9

-3 < 0

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

1 = -1/9*x^3 // : -1/9

-9 = x^3

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

x = -9^(1/3)

x = 0

x = 0

x in { 0} 

x = -9^(1/3)

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