5/(x-1)=7/x

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Solution for 5/(x-1)=7/x equation: 


D( x )

x = 0

x-1 = 0

x = 0

x = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

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

5/(x-1) = 7/x // - 7/x

5/(x-1)-(7/x) = 0

5/(x-1)-7*x^-1 = 0

5/(x-1)-7/x = 0

(5*x)/(x*(x-1))+(-7*(x-1))/(x*(x-1)) = 0

5*x-7*(x-1) = 0

7-2*x = 0

(7-2*x)/(x*(x-1)) = 0

(7-2*x)/(x*(x-1)) = 0 // * x*(x-1)

7-2*x = 0

7-2*x = 0 // - 7

-2*x = -7 // : -2

x = -7/(-2)

x = 7/2

x = 7/2

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