((x)/(x-3))-((12)/(x))=1

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Solution for ((x)/(x-3))-((12)/(x))=1 equation:


D( x )

x = 0

x-3 = 0

x = 0

x = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x in (-oo:0) U (0:3) U (3:+oo)

x/(x-3)-(12/x) = 1 // - 1

x/(x-3)-(12/x)-1 = 0

x/(x-3)-12*x^-1-1 = 0

x/(x-3)-12/x-1 = 0

(x^2)/(x*(x-3))+(-12*(x-3))/(x*(x-3))+(-1*x*(x-3))/(x*(x-3)) = 0

x^2-12*(x-3)-1*x*(x-3) = 0

x^2-x^2-12*x+3*x+36 = 0

36-9*x = 0

(36-9*x)/(x*(x-3)) = 0

(36-9*x)/(x*(x-3)) = 0 // * x*(x-3)

36-9*x = 0

36-9*x = 0 // - 36

-9*x = -36 // : -9

x = -36/(-9)

x = 4

x = 4

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