((x^2-3x-4)/(x^2-2x-3))*((x^2-x-6)/(x^4))

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Solution for ((x^2-3x-4)/(x^2-2x-3))*((x^2-x-6)/(x^4)) equation: 


D( x )

x^4 = 0

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

x^4 = 0

x^4 = 0

1*x^4 = 0 // : 1

x^4 = 0

x = 0

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

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

x^2-2*x-3 = 0

x^2-2*x-3 = 0

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

DELTA = 16

DELTA > 0

x = (16^(1/2)+2)/(1*2) or x = (2-16^(1/2))/(1*2)

x = 3 or x = -1

x in (-oo:-1) U (-1:0) U (0:3) U (3:+oo)

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

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

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

x^2-3*x-4 = 0

x^2-3*x-4 = 0

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

DELTA = 25

DELTA > 0

x = (25^(1/2)+3)/(1*2) or x = (3-25^(1/2))/(1*2)

x = 4 or x = -1

(x+1)*(x-4) = 0

x^2-2*x-3 = 0

x^2-2*x-3 = 0

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

DELTA = 16

DELTA > 0

x = (16^(1/2)+2)/(1*2) or x = (2-16^(1/2))/(1*2)

x = 3 or x = -1

(x+1)*(x-3) = 0

x^2-x-6 = 0

x^2-x-6 = 0

DELTA = (-1)^2-(-6*1*4)

DELTA = 25

DELTA > 0

x = (25^(1/2)+1)/(1*2) or x = (1-25^(1/2))/(1*2)

x = 3 or x = -2

(x+2)*(x-3) = 0

((x+1)*(x-4)*(x+2)*(x-3))/(x^4*(x+1)*(x-3)) = 0

( x+1 )

x+1 = 0 // - 1

x = -1

( x+2 )

x+2 = 0 // - 2

x = -2

( x-3 )

x-3 = 0 // + 3

x = 3

( x-4 )

x-4 = 0 // + 4

x = 4

x in { -1} 

x in { 3} 

x in { -2, 4 }

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