(x/(x+6))+(6-(6-x))

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Solution for (x/(x+6))+(6-(6-x)) 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)

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

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

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

x^2+7*x-6*x+6*x-36+36 = 0

x^2+x+6*x-36+36 = 0

x^2+7*x = 0

x^2+7*x = 0

x*(x+7) = 0

x+7 = 0 // - 7

x = -7

x*(x+7) = 0

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

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

x*(x+7) = 0

( x+7 )

x+7 = 0 // - 7

x = -7

( x )

x = 0

x in { -7, 0 }

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