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

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


D( x )

x-2 = 0

x-1 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:2) U (2:+oo)

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

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

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

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

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

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

x^2-2*x^2-6*x+6*x-4+4 = 0

-x^2 = 0

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

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

-x^2 = 0

-1*x^2 = 0 // : -1

x^2 = 0

x = 0

x = 0

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