x/(x-2)=(x-9)/(x+9)

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Solution for x/(x-2)=(x-9)/(x+9) equation:


D( x )

x-2 = 0

x+9 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x+9 = 0

x+9 = 0

x+9 = 0 // - 9

x = -9

x in (-oo:-9) U (-9:2) U (2:+oo)

x/(x-2) = (x-9)/(x+9) // - (x-9)/(x+9)

x/(x-2)-((x-9)/(x+9)) = 0

x/(x-2)+(-1*(x-9))/(x+9) = 0

(x*(x+9))/((x-2)*(x+9))+(-1*(x-9)*(x-2))/((x-2)*(x+9)) = 0

x*(x+9)-1*(x-9)*(x-2) = 0

20*x-18 = 0

(20*x-18)/((x-2)*(x+9)) = 0

(20*x-18)/((x-2)*(x+9)) = 0 // * (x-2)*(x+9)

20*x-18 = 0

20*x-18 = 0 // + 18

20*x = 18 // : 20

x = 18/20

x = 9/10

x = 9/10

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