6x-60/(x+6)(x-6)

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Solution for 6x-60/(x+6)(x-6) 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)

6*x-((60/(x+6))*(x-6)) = 0

6*x-60*(x-6)*(x+6)^-1 = 0

(-60*(x-6))/(x+6)+6*x = 0

(-60*(x-6))/(x+6)+(6*x*(x+6))/(x+6) = 0

6*x*(x+6)-60*(x-6) = 0

6*x^2-24*x+360 = 0

6*x^2-24*x+360 = 0

6*(x^2-4*x+60) = 0

x^2-4*x+60 = 0

DELTA = (-4)^2-(1*4*60)

DELTA = -224

DELTA < 0

6 = 0

6/(x+6) = 0

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

6 = 0

x belongs to the empty set

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