4/(x-2)-2/(x)=14/(x^2-2x)

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Solution for 4/(x-2)-2/(x)=14/(x^2-2x) equation: 


D( x )

x^2-(2*x) = 0

x-2 = 0

x = 0

x^2-(2*x) = 0

x^2-(2*x) = 0

x^2-2*x = 0

x^2-2*x = 0

DELTA = (-2)^2-(0*1*4)

DELTA = 4

DELTA > 0

x = (4^(1/2)+2)/(1*2) or x = (2-4^(1/2))/(1*2)

x = 2 or x = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x = 0

x = 0

x in (-oo:0) U (0:2) U (2:+oo)

4/(x-2)-(2/x) = 14/(x^2-(2*x)) // - 14/(x^2-(2*x))

4/(x-2)-(14/(x^2-(2*x)))-(2/x) = 0

4/(x-2)-14*(x^2-2*x)^-1-2*x^-1 = 0

4/(x-2)-14/(x^2-2*x)-2/x = 0

x^2-2*x = 0

x^2-2*x = 0

x*(x-2) = 0

x-2 = 0 // + 2

x = 2

x*(x-2) = 0

4/(x-2)-14/(x*(x-2))-2/x = 0

(4*x)/(x*(x-2))-14/(x*(x-2))+(-2*(x-2))/(x*(x-2)) = 0

4*x-2*(x-2)-14 = 0

4*x-2*x-14+4 = 0

2*x-10 = 0

(2*x-10)/(x*(x-2)) = 0

(2*x-10)/(x*(x-2)) = 0 // * x*(x-2)

2*x-10 = 0

2*x-10 = 0 // + 10

2*x = 10 // : 2

x = 10/2

x = 5

x = 5

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