4x/x-1=x/x^2-1

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Solution for 4x/x-1=x/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)

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

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

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

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

x^-1 = 4

-1 < 0

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

1 = 4*x^1 // : 4

1/4 = x^1

x = 1/4

x = 1/4

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