90/x-90/(x-1)=3/x

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Solution for 90/x-90/(x-1)=3/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)

90/x-(90/(x-1)) = 3/x // - 3/x

90/x-(90/(x-1))-(3/x) = 0

90/x-90*(x-1)^-1-3*x^-1 = 0

90/x-90/(x-1)-3/x = 0

(-90*x)/(x*(x-1))+(90*(x-1))/(x*(x-1))+(-3*(x-1))/(x*(x-1)) = 0

90*(x-1)-3*(x-1)-90*x = 0

3-3*x-90 = 0

-3*x-87 = 0

(-3*x-87)/(x*(x-1)) = 0

(-3*x-87)/(x*(x-1)) = 0 // * x*(x-1)

-3*x-87 = 0

-3*x-87 = 0 // + 87

-3*x = 87 // : -3

x = 87/(-3)

x = -29

x = -29

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