((x^2-10x+24))/((x^2-3x-18))*((x^2-9)/(x^2-16))

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Solution for ((x^2-10x+24))/((x^2-3x-18))*((x^2-9)/(x^2-16)) equation: 


D( x )

x^2-(3*x)-18 = 0

x^2-16 = 0

x^2-(3*x)-18 = 0

x^2-(3*x)-18 = 0

x^2-3*x-18 = 0

x^2-3*x-18 = 0

DELTA = (-3)^2-(-18*1*4)

DELTA = 81

DELTA > 0

x = (81^(1/2)+3)/(1*2) or x = (3-81^(1/2))/(1*2)

x = 6 or x = -3

x^2-16 = 0

x^2-16 = 0

1*x^2 = 16 // : 1

x^2 = 16

x^2 = 16 // ^ 1/2

abs(x) = 4

x = 4 or x = -4

x in (-oo:-4) U (-4:-3) U (-3:4) U (4:6) U (6:+oo)

((x^2-(10*x)+24)/(x^2-(3*x)-18))*((x^2-9)/(x^2-16)) = 0

((x^2-10*x+24)/(x^2-3*x-18))*((x^2-9)/(x^2-16)) = 0

((x^2-10*x+24)*(x^2-9))/((x^2-3*x-18)*(x^2-16)) = 0

x^2-10*x+24 = 0

x^2-10*x+24 = 0

DELTA = (-10)^2-(1*4*24)

DELTA = 4

DELTA > 0

x = (4^(1/2)+10)/(1*2) or x = (10-4^(1/2))/(1*2)

x = 6 or x = 4

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

x^2-3*x-18 = 0

x^2-3*x-18 = 0

DELTA = (-3)^2-(-18*1*4)

DELTA = 81

DELTA > 0

x = (81^(1/2)+3)/(1*2) or x = (3-81^(1/2))/(1*2)

x = 6 or x = -3

(x+3)*(x-6) = 0

((x-4)*(x-6)*(x^2-9))/((x+3)*(x-6)*(x^2-16)) = 0

( x-4 )

x-4 = 0 // + 4

x = 4

( x-6 )

x-6 = 0 // + 6

x = 6

( x^2-9 )

1*x^2 = 9 // : 1

x^2 = 9

x^2 = 9 // ^ 1/2

abs(x) = 3

x = 3 or x = -3

x in { 4} 

x in { 6} 

x in { -3} 

x = 3

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