(x^2-36)/(x^2+4x-12)/(x-3)/(x-2)

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Solution for (x^2-36)/(x^2+4x-12)/(x-3)/(x-2) equation: 


D( x )

x-2 = 0

x^2+4*x-12 = 0

x-3 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x^2+4*x-12 = 0

x^2+4*x-12 = 0

x^2+4*x-12 = 0

DELTA = 4^2-(-12*1*4)

DELTA = 64

DELTA > 0

x = (64^(1/2)-4)/(1*2) or x = (-64^(1/2)-4)/(1*2)

x = 2 or x = -6

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x in (-oo:-6) U (-6:2) U (2:3) U (3:+oo)

(((x^2-36)/(x^2+4*x-12))/(x-3))/(x-2) = 0

(x^2-36)/((x^2+4*x-12)*(x-3)*(x-2)) = 0

x^2+4*x-12 = 0

x^2+4*x-12 = 0

DELTA = 4^2-(-12*1*4)

DELTA = 64

DELTA > 0

x = (64^(1/2)-4)/(1*2) or x = (-64^(1/2)-4)/(1*2)

x = 2 or x = -6

(x+6)*(x-2) = 0

(x^2-36)/((x+6)*(x-2)^2*(x-3)) = 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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