((x^2-x-12)/(x^2+5x-36))*((x^2+2x-63)/(x^2+12x+27))

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Solution for ((x^2-x-12)/(x^2+5x-36))*((x^2+2x-63)/(x^2+12x+27)) equation: 


D( x )

x^2+12*x+27 = 0

x^2+5*x-36 = 0

x^2+12*x+27 = 0

x^2+12*x+27 = 0

x^2+12*x+27 = 0

DELTA = 12^2-(1*4*27)

DELTA = 36

DELTA > 0

x = (36^(1/2)-12)/(1*2) or x = (-36^(1/2)-12)/(1*2)

x = -3 or x = -9

x^2+5*x-36 = 0

x^2+5*x-36 = 0

x^2+5*x-36 = 0

DELTA = 5^2-(-36*1*4)

DELTA = 169

DELTA > 0

x = (169^(1/2)-5)/(1*2) or x = (-169^(1/2)-5)/(1*2)

x = 4 or x = -9

x in (-oo:-9) U (-9:-3) U (-3:4) U (4:+oo)

((x^2-x-12)/(x^2+5*x-36))*((x^2+2*x-63)/(x^2+12*x+27)) = 0

((x^2-x-12)*(x^2+2*x-63))/((x^2+5*x-36)*(x^2+12*x+27)) = 0

x^2-x-12 = 0

x^2-x-12 = 0

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

DELTA = 49

DELTA > 0

x = (49^(1/2)+1)/(1*2) or x = (1-49^(1/2))/(1*2)

x = 4 or x = -3

(x+3)*(x-4) = 0

x^2+5*x-36 = 0

x^2+5*x-36 = 0

DELTA = 5^2-(-36*1*4)

DELTA = 169

DELTA > 0

x = (169^(1/2)-5)/(1*2) or x = (-169^(1/2)-5)/(1*2)

x = 4 or x = -9

(x+9)*(x-4) = 0

x^2+2*x-63 = 0

x^2+2*x-63 = 0

DELTA = 2^2-(-63*1*4)

DELTA = 256

DELTA > 0

x = (256^(1/2)-2)/(1*2) or x = (-256^(1/2)-2)/(1*2)

x = 7 or x = -9

(x+9)*(x-7) = 0

x^2+12*x+27 = 0

x^2+12*x+27 = 0

DELTA = 12^2-(1*4*27)

DELTA = 36

DELTA > 0

x = (36^(1/2)-12)/(1*2) or x = (-36^(1/2)-12)/(1*2)

x = -3 or x = -9

(x+9)*(x+3) = 0

((x+3)*(x-4)*(x+9)*(x-7))/((x+9)^2*(x-4)*(x+3)) = 0

( x+3 )

x+3 = 0 // - 3

x = -3

( x+9 )

x+9 = 0 // - 9

x = -9

( x-4 )

x-4 = 0 // + 4

x = 4

( x-7 )

x-7 = 0 // + 7

x = 7

x in { -3} 

x in { -9} 

x in { 4} 

x = 7

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