1/x=4/(x-9)

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Solution for 1/x=4/(x-9) equation: 


D( x )

x = 0

x-9 = 0

x = 0

x = 0

x-9 = 0

x-9 = 0

x-9 = 0 // + 9

x = 9

x in (-oo:0) U (0:9) U (9:+oo)

1/x = 4/(x-9) // - 4/(x-9)

1/x-(4/(x-9)) = 0

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

1/x-4/(x-9) = 0

(-4*x)/(x*(x-9))+(1*(x-9))/(x*(x-9)) = 0

1*(x-9)-4*x = 0

-3*x-9 = 0

(-3*x-9)/(x*(x-9)) = 0

(-3*x-9)/(x*(x-9)) = 0 // * x*(x-9)

-3*x-9 = 0

-3*x-9 = 0 // + 9

-3*x = 9 // : -3

x = 9/(-3)

x = -3

x = -3

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