4/x=2/(x-1)

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Solution for 4/x=2/(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)

4/x = 2/(x-1) // - 2/(x-1)

4/x-(2/(x-1)) = 0

4/x-2*(x-1)^-1 = 0

4/x-2/(x-1) = 0

(-2*x)/(x*(x-1))+(4*(x-1))/(x*(x-1)) = 0

4*(x-1)-2*x = 0

2*x-4 = 0

(2*x-4)/(x*(x-1)) = 0

(2*x-4)/(x*(x-1)) = 0 // * x*(x-1)

2*x-4 = 0

2*x-4 = 0 // + 4

2*x = 4 // : 2

x = 4/2

x = 2

x = 2

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