(5/x-5)/(10/5x-25)

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Solution for (5/x-5)/(10/5x-25) equation: 


D( x )

(10/5)*x-25 = 0

x = 0

(10/5)*x-25 = 0

(10/5)*x-25 = 0

2*x-25 = 0 // + 25

2*x = 25 // : 2

x = 25/2

x = 0

x = 0

x in (-oo:0) U (0:25/2) U (25/2:+oo)

(5/x-5)/((10/5)*x-25) = 0

(5*x^-1-5)/(2*x-25) = 0

5*x^-1 = 5 // : 5

x^-1 = 1

-1 < 0

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

1 = 1*x^1 // : 1

1 = x^1

x = 1

x = 1

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