5/(x-6)=2/x

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Solution for 5/(x-6)=2/x equation: 


D( x )

x-6 = 0

x = 0

x-6 = 0

x-6 = 0

x-6 = 0 // + 6

x = 6

x = 0

x = 0

x in (-oo:0) U (0:6) U (6:+oo)

5/(x-6) = 2/x // - 2/x

5/(x-6)-(2/x) = 0

5/(x-6)-2*x^-1 = 0

5/(x-6)-2/x = 0

(5*x)/(x*(x-6))+(-2*(x-6))/(x*(x-6)) = 0

5*x-2*(x-6) = 0

3*x+12 = 0

(3*x+12)/(x*(x-6)) = 0

(3*x+12)/(x*(x-6)) = 0 // * x*(x-6)

3*x+12 = 0

3*x+12 = 0 // - 12

3*x = -12 // : 3

x = -12/3

x = -4

x = -4

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