2/(x-3)=14/(x+9)

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Solution for 2/(x-3)=14/(x+9) equation: 


D( x )

x-3 = 0

x+9 = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x+9 = 0

x+9 = 0

x+9 = 0 // - 9

x = -9

x in (-oo:-9) U (-9:3) U (3:+oo)

2/(x-3) = 14/(x+9) // - 14/(x+9)

2/(x-3)-(14/(x+9)) = 0

2/(x-3)-14*(x+9)^-1 = 0

2/(x-3)-14/(x+9) = 0

(2*(x+9))/((x-3)*(x+9))+(-14*(x-3))/((x-3)*(x+9)) = 0

2*(x+9)-14*(x-3) = 0

60-12*x = 0

(60-12*x)/((x-3)*(x+9)) = 0

(60-12*x)/((x-3)*(x+9)) = 0 // * (x-3)*(x+9)

60-12*x = 0

60-12*x = 0 // - 60

-12*x = -60 // : -12

x = -60/(-12)

x = 5

x = 5

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