x/(x^2-6x)=1

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Solution for x/(x^2-6x)=1 equation:


D( x )

x^2-(6*x) = 0

x^2-(6*x) = 0

x^2-(6*x) = 0

x^2-6*x = 0

x^2-6*x = 0

DELTA = (-6)^2-(0*1*4)

DELTA = 36

DELTA > 0

x = (36^(1/2)+6)/(1*2) or x = (6-36^(1/2))/(1*2)

x = 6 or x = 0

x in (-oo:0) U (0:6) U (6:+oo)

x/(x^2-(6*x)) = 1 // - 1

x/(x^2-(6*x))-1 = 0

x/(x^2-6*x)-1 = 0

x^2-6*x = 0

x^2-6*x = 0

x*(x-6) = 0

x-6 = 0 // + 6

x = 6

x*(x-6) = 0

x/(x*(x-6))-1 = 0

x/(x*(x-6))+(-1*x*(x-6))/(x*(x-6)) = 0

x-1*x*(x-6) = 0

7*x-x^2 = 0

7*x-x^2 = 0

x*(7-x) = 0

7-x = 0 // - 7

-x = -7 // * -1

x = 7

x*(x-7) = 0

(x*(x-7))/(x*(x-6)) = 0

(x*(x-7))/(x*(x-6)) = 0 // * x*(x-6)

x*(x-7) = 0

( x-7 )

x-7 = 0 // + 7

x = 7

( x )

x = 0

x in { 0}

x = 7

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