4/(x-6)=9/10

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Solution for 4/(x-6)=9/10 equation: 


D( x )

x-6 = 0

x-6 = 0

x-6 = 0

x-6 = 0 // + 6

x = 6

x in (-oo:6) U (6:+oo)

4/(x-6) = 9/10 // - 9/10

4/(x-6)-(9/10) = 0

4/(x-6)-9/10 = 0

(4*10)/(10*(x-6))+(-9*(x-6))/(10*(x-6)) = 0

4*10-9*(x-6) = 0

94-9*x = 0

(94-9*x)/(10*(x-6)) = 0

(94-9*x)/(10*(x-6)) = 0 // * 10*(x-6)

94-9*x = 0

94-9*x = 0 // - 94

-9*x = -94 // : -9

x = -94/(-9)

x = 94/9

x = 94/9

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