(3s^2+18s+24)/(9s^2-9s-54)

Solution for (3s^2+18s+24)/(9s^2-9s-54) equation:

D( s )

9*s^2-(9*s)-54 = 0

9*s^2-(9*s)-54 = 0

9*s^2-(9*s)-54 = 0

9*s^2-9*s-54 = 0

9*s^2-9*s-54 = 0

DELTA = (-9)^2-(-54*4*9)

DELTA = 2025

DELTA > 0

s = (2025^(1/2)+9)/(2*9) or s = (9-2025^(1/2))/(2*9)

s = 3 or s = -2

s in (-oo:-2) U (-2:3) U (3:+oo)

(3*s^2+18*s+24)/(9*s^2-(9*s)-54) = 0

(3*s^2+18*s+24)/(9*s^2-9*s-54) = 0

3*s^2+18*s+24 = 0

3*(s^2+6*s+8) = 0

s^2+6*s+8 = 0

DELTA = 6^2-(1*4*8)

DELTA = 4

DELTA > 0

s = (4^(1/2)-6)/(1*2) or s = (-4^(1/2)-6)/(1*2)

s = -2 or s = -4

3*(s+4)*(s+2) = 0

9*s^2-9*s-54 = 0

9*(s^2-s-6) = 0

s^2-s-6 = 0

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

DELTA = 25

DELTA > 0

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

s = 3 or s = -2

9*(s+2)*(s-3) = 0

(3*(s+4)*(s+2))/(9*(s+2)*(s-3)) = 0

( s+2 )

s+2 = 0 // - 2

s = -2

( s+4 )

s+4 = 0 // - 4

s = -4

s in { -2} 

s = -4