(x^2-9)/x^2*(x^2-3)/(x^2+5x-24)

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Solution for (x^2-9)/x^2*(x^2-3)/(x^2+5x-24) equation: 


D( x )

x^2+5*x-24 = 0

x^2 = 0

x^2+5*x-24 = 0

x^2+5*x-24 = 0

x^2+5*x-24 = 0

DELTA = 5^2-(-24*1*4)

DELTA = 121

DELTA > 0

x = (121^(1/2)-5)/(1*2) or x = (-121^(1/2)-5)/(1*2)

x = 3 or x = -8

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:-8) U (-8:0) U (0:3) U (3:+oo)

(((x^2-9)/(x^2))*(x^2-3))/(x^2+5*x-24) = 0

((x^2-9)*(x^2-3))/(x^2*(x^2+5*x-24)) = 0

x^2+5*x-24 = 0

x^2+5*x-24 = 0

DELTA = 5^2-(-24*1*4)

DELTA = 121

DELTA > 0

x = (121^(1/2)-5)/(1*2) or x = (-121^(1/2)-5)/(1*2)

x = 3 or x = -8

(x+8)*(x-3) = 0

((x^2-9)*(x^2-3))/(x^2*(x+8)*(x-3)) = 0

( x^2-3 )

1*x^2 = 3 // : 1

x^2 = 3

x^2 = 3 // ^ 1/2

abs(x) = 3^(1/2)

x = 3^(1/2) or x = -3^(1/2)

( 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 { 3} 

x in { 3^(1/2), -3^(1/2), -3 }

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