(5x/x-1)-2=(14/x^2-1)

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Solution for (5x/x-1)-2=(14/x^2-1) 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)/x-2-1 = 14/(x^2)-1 // - 14/(x^2)-1

(5*x)/x-(14/(x^2))-2-1+1 = 0

(5*x)/x-14*x^-2-2-1+1 = 0

-14*x^-2 = -3 // : -14

x^-2 = 3/14

-2 < 0

1/(x^2) = 3/14 // * x^2

1 = 3/14*x^2 // : 3/14

14/3 = x^2

x^2 = 14/3 // ^ 1/2

abs(x) = (14/3)^(1/2)

x = (14/3)^(1/2) or x = -(14/3)^(1/2)

x in { (14/3)^(1/2), -(14/3)^(1/2) }

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