((x^2-36)/(x^2-2x-24))*((x+4)/(x))

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Solution for ((x^2-36)/(x^2-2x-24))*((x+4)/(x)) equation: 


D( x )

x = 0

x^2-(2*x)-24 = 0

x = 0

x = 0

x^2-(2*x)-24 = 0

x^2-(2*x)-24 = 0

x^2-2*x-24 = 0

x^2-2*x-24 = 0

DELTA = (-2)^2-(-24*1*4)

DELTA = 100

DELTA > 0

x = (100^(1/2)+2)/(1*2) or x = (2-100^(1/2))/(1*2)

x = 6 or x = -4

x in (-oo:-4) U (-4:0) U (0:6) U (6:+oo)

((x^2-36)/(x^2-(2*x)-24))*((x+4)/x) = 0

((x^2-36)/(x^2-2*x-24))*((x+4)/x) = 0

((x^2-36)*(x+4))/(x*(x^2-2*x-24)) = 0

x^2-2*x-24 = 0

x^2-2*x-24 = 0

DELTA = (-2)^2-(-24*1*4)

DELTA = 100

DELTA > 0

x = (100^(1/2)+2)/(1*2) or x = (2-100^(1/2))/(1*2)

x = 6 or x = -4

(x+4)*(x-6) = 0

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

1*x^2 = 36 // : 1

x^2 = 36

x^2 = 36 // ^ 1/2

abs(x) = 6

x = 6 or x = -6

x in { 6} 

x = -6

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