1/(x-6)=-1/5

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Solution for 1/(x-6)=-1/5 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)

1/(x-6) = -1/5 // + -1/5

1/(x-6)-(-1/5) = 0

1/(x-6)+1/5 = 0

(1*5)/(5*(x-6))+(1*(x-6))/(5*(x-6)) = 0

1*(x-6)+1*5 = 0

x-1 = 0

(x-1)/(5*(x-6)) = 0

(x-1)/(5*(x-6)) = 0 // * 5*(x-6)

x-1 = 0

x-1 = 0 // + 1

x = 1

x = 1

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