1/(25-x)-1/x

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Solution for 1/(25-x)-1/x equation: 


D( x )

x = 0

25-x = 0

x = 0

x = 0

25-x = 0

25-x = 0

25-x = 0 // - 25

-x = -25 // * -1

x = 25

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

1/(25-x)-(1/x) = 0

1/(25-x)-x^-1 = 0

1/(25-x)-1/x = 0

(1*x)/(x*(25-x))+(-1*(25-x))/(x*(25-x)) = 0

1*x-1*(25-x) = 0

2*x-25 = 0

(2*x-25)/(x*(25-x)) = 0

(2*x-25)/(x*(25-x)) = 0 // * x*(25-x)

2*x-25 = 0

2*x-25 = 0 // + 25

2*x = 25 // : 2

x = 25/2

x = 25/2

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