-24/(x-5)=-9/x

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Solution for -24/(x-5)=-9/x equation: 


D( x )

x-5 = 0

x = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

x = 0

x = 0

x in (-oo:0) U (0:5) U (5:+oo)

-24/(x-5) = -9/x // + -9/x

-24/(x-5)-(-9/x) = 0

9*x^-1-24/(x-5) = 0

9/x-24/(x-5) = 0

(-24*x)/(x*(x-5))+(9*(x-5))/(x*(x-5)) = 0

9*(x-5)-24*x = 0

-15*x-45 = 0

(-15*x-45)/(x*(x-5)) = 0

(-15*x-45)/(x*(x-5)) = 0 // * x*(x-5)

-15*x-45 = 0

-15*x-45 = 0 // + 45

-15*x = 45 // : -15

x = 45/(-15)

x = -3

x = -3

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