((x^2-6x)/(x^2-36))*((x+6)/(x^2))

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Solution for ((x^2-6x)/(x^2-36))*((x+6)/(x^2)) equation: 


D( x )

x^2-36 = 0

x^2 = 0

x^2-36 = 0

x^2-36 = 0

1*x^2 = 36 // : 1

x^2 = 36

x^2 = 36 // ^ 1/2

abs(x) = 6

x = 6 or x = -6

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

((x^2-(6*x))/(x^2-36))*((x+6)/(x^2)) = 0

((x^2-6*x)/(x^2-36))*((x+6)/(x^2)) = 0

((x^2-6*x)*(x+6))/(x^2*(x^2-36)) = 0

x^2-6*x = 0

x*(x-6) = 0

x-6 = 0 // + 6

x = 6

x*(x-6) = 0

(x*(x-6)*(x+6))/(x^2*(x^2-36)) = 0

( x+6 )

x+6 = 0 // - 6

x = -6

( x-6 )

x-6 = 0 // + 6

x = 6

( x )

x = 0

x in { -6} 

x in { 6} 

x in { 0} 

x belongs to the empty set

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