x/(x-200)=9/7

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Solution for x/(x-200)=9/7 equation: 


D( x )

x-200 = 0

x-200 = 0

x-200 = 0

x-200 = 0 // + 200

x = 200

x in (-oo:200) U (200:+oo)

x/(x-200) = 9/7 // - 9/7

x/(x-200)-(9/7) = 0

x/(x-200)-9/7 = 0

(7*x)/(7*(x-200))+(-9*(x-200))/(7*(x-200)) = 0

7*x-9*(x-200) = 0

1800-2*x = 0

(1800-2*x)/(7*(x-200)) = 0

(1800-2*x)/(7*(x-200)) = 0 // * 7*(x-200)

1800-2*x = 0

1800-2*x = 0 // - 1800

-2*x = -1800 // : -2

x = -1800/(-2)

x = 900

x = 900

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