20/x-12/x=9/(x-1)

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Solution for 20/x-12/x=9/(x-1) 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)

20/x-(12/x) = 9/(x-1) // - 9/(x-1)

20/x-(9/(x-1))-(12/x) = 0

20/x-9*(x-1)^-1-12*x^-1 = 0

20/x-9/(x-1)-12/x = 0

(-9*x)/(x*(x-1))+(20*(x-1))/(x*(x-1))+(-12*(x-1))/(x*(x-1)) = 0

20*(x-1)-12*(x-1)-9*x = 0

11*x-12*x-20+12 = 0

-x-8 = 0

(-x-8)/(x*(x-1)) = 0

(-x-8)/(x*(x-1)) = 0 // * x*(x-1)

-x-8 = 0

-x-8 = 0 // + 8

-x = 8 // * -1

x = -8

x = -8

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