9/(x+2)=24/(x-3)

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Solution for 9/(x+2)=24/(x-3) equation: 


D( x )

x+2 = 0

x-3 = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x in (-oo:-2) U (-2:3) U (3:+oo)

9/(x+2) = 24/(x-3) // - 24/(x-3)

9/(x+2)-(24/(x-3)) = 0

9/(x+2)-24*(x-3)^-1 = 0

9/(x+2)-24/(x-3) = 0

(9*(x-3))/((x+2)*(x-3))+(-24*(x+2))/((x+2)*(x-3)) = 0

9*(x-3)-24*(x+2) = 0

-15*x-75 = 0

(-15*x-75)/((x+2)*(x-3)) = 0

(-15*x-75)/((x+2)*(x-3)) = 0 // * (x+2)*(x-3)

-15*x-75 = 0

-15*x-75 = 0 // + 75

-15*x = 75 // : -15

x = 75/(-15)

x = -5

x = -5

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