1/(1/x-4)-4

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Solution for 1/(1/x-4)-4 equation: 


D( x )

1/x-4 = 0

x = 0

1/x-4 = 0

1/x-4 = 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 = 0

x = 0

x in (-oo:0) U (0:1/4) U (1/4:+oo)

1/(1/x-4)-4 = 0

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

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

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

17-4*x^-1 = 0

(17-4*x^-1)/(x^-1-4) = 0

(17-4*x^-1)/(x^-1-4) = 0 // * x^-1-4

17-4*x^-1 = 0

-4*x^-1 = -17 // : -4

x^-1 = 17/4

-1 < 0

1/(x^1) = 17/4 // * x^1

1 = 17/4*x^1 // : 17/4

4/17 = x^1

x = 4/17

x = 4/17

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