-20/(x-5)=-10/x

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Solution for -20/(x-5)=-10/x equation: 


D( x )

x-5 = 0

x = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

x = 0

x = 0

x in (-oo:0) U (0:5) U (5:+oo)

-20/(x-5) = -10/x // + -10/x

-20/(x-5)-(-10/x) = 0

10*x^-1-20/(x-5) = 0

10/x-20/(x-5) = 0

(-20*x)/(x*(x-5))+(10*(x-5))/(x*(x-5)) = 0

10*(x-5)-20*x = 0

-10*x-50 = 0

(-10*x-50)/(x*(x-5)) = 0

(-10*x-50)/(x*(x-5)) = 0 // * x*(x-5)

-10*x-50 = 0

-10*x-50 = 0 // + 50

-10*x = 50 // : -10

x = 50/(-10)

x = -5

x = -5

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