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

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Solution for X-2/(x-1)=(2-4x)/(x-1) equation:


D( x )

x-1 = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

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

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

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

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

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

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

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

X*x-X+4*x-4 = 0

X*x-X+4*x-4 = 0

X*x-X+4*x-4

4*(x-1)+X*x-X

X*(x-1)+4*(x-1)

(X+4)*(x-1)

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

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

(X+4)*(x-1) = 0

x-1 = 0 // + 1

x = 1

x in { 1}

x belongs to the empty set

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