((6x)/(x-2)-(7x)/(x-6))

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Solution for ((6x)/(x-2)-(7x)/(x-6)) equation:


D( x )

x-6 = 0

x-2 = 0

x-6 = 0

x-6 = 0

x-6 = 0 // + 6

x = 6

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x in (-oo:2) U (2:6) U (6:+oo)

(6*x)/(x-2)-((7*x)/(x-6)) = 0

(6*x)/(x-2)-7*x*(x-6)^-1 = 0

(6*x)/(x-2)+(-7*x)/(x-6) = 0

(6*x*(x-6))/((x-2)*(x-6))+(-7*x*(x-2))/((x-2)*(x-6)) = 0

6*x*(x-6)-7*x*(x-2) = 0

-x^2-22*x = 0

-x^2-22*x = 0

-x*(x+22) = 0

x+22 = 0 // - 22

x = -22

-x*(x+22) = 0

(-x*(x+22))/((x-2)*(x-6)) = 0

(-x*(x+22))/((x-2)*(x-6)) = 0 // * (x-2)*(x-6)

-x*(x+22) = 0

( -x )

-1*x = 0 // : -1

x = 0

( x+22 )

x+22 = 0 // - 22

x = -22

x in { 0, -22 }

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