9/4=6/(x-5)

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Solution for 9/4=6/(x-5) equation: 


D( x )

x-5 = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

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

9/4 = 6/(x-5) // - 6/(x-5)

9/4-(6/(x-5)) = 0

9/4-6*(x-5)^-1 = 0

9/4-6/(x-5) = 0

(-6*4)/(4*(x-5))+(9*(x-5))/(4*(x-5)) = 0

9*(x-5)-6*4 = 0

9*x-69 = 0

(9*x-69)/(4*(x-5)) = 0

(9*x-69)/(4*(x-5)) = 0 // * 4*(x-5)

9*x-69 = 0

9*x-69 = 0 // + 69

9*x = 69 // : 9

x = 69/9

x = 23/3

x = 23/3

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