x/(x+9)=5/8

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Solution for x/(x+9)=5/8 equation: 


D( x )

x+9 = 0

x+9 = 0

x+9 = 0

x+9 = 0 // - 9

x = -9

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

x/(x+9) = 5/8 // - 5/8

x/(x+9)-(5/8) = 0

x/(x+9)-5/8 = 0

(8*x)/(8*(x+9))+(-5*(x+9))/(8*(x+9)) = 0

8*x-5*(x+9) = 0

3*x-45 = 0

(3*x-45)/(8*(x+9)) = 0

(3*x-45)/(8*(x+9)) = 0 // * 8*(x+9)

3*x-45 = 0

3*x-45 = 0 // + 45

3*x = 45 // : 3

x = 45/3

x = 15

x = 15

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