((g^2+5g+4)/(5g+5))/((g^2+8g+16)/(g^2+g-12))

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Solution for ((g^2+5g+4)/(5g+5))/((g^2+8g+16)/(g^2+g-12)) equation: 


D( g )

(g^2+8*g+16)/(g^2+g-12) = 0

g^2+g-12 = 0

5*g+5 = 0

(g^2+8*g+16)/(g^2+g-12) = 0

(g^2+8*g+16)/(g^2+g-12) = 0

g^2+8*g+16 = 0

g^2+8*g+16 = 0

DELTA = 8^2-(1*4*16)

DELTA = 0

g = -8/(1*2)

g = -4 or g = -4

(g+4)^2 = 0

g^2+g-12 = 0

g^2+g-12 = 0

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

DELTA = 49

DELTA > 0

g = (49^(1/2)-1)/(1*2) or g = (-49^(1/2)-1)/(1*2)

g = 3 or g = -4

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

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

g+4 = 0 // - 4

g = -4

g^2+g-12 = 0

g^2+g-12 = 0

g^2+g-12 = 0

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

DELTA = 49

DELTA > 0

g = (49^(1/2)-1)/(1*2) or g = (-49^(1/2)-1)/(1*2)

g = 3 or g = -4

5*g+5 = 0

5*g+5 = 0

5*g+5 = 0 // - 5

5*g = -5 // : 5

g = -5/5

g = -1

g in (-oo:-4) U (-4:-1) U (-1:3) U (3:+oo)

((g^2+5*g+4)/(5*g+5))/((g^2+8*g+16)/(g^2+g-12)) = 0

((g^2+5*g+4)*(g^2+g-12))/((5*g+5)*(g^2+8*g+16)) = 0

g^2+5*g+4 = 0

g^2+5*g+4 = 0

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

DELTA = 9

DELTA > 0

g = (9^(1/2)-5)/(1*2) or g = (-9^(1/2)-5)/(1*2)

g = -1 or g = -4

(g+4)*(g+1) = 0

g^2+8*g+16 = 0

g^2+8*g+16 = 0

DELTA = 8^2-(1*4*16)

DELTA = 0

g = -8/(1*2)

g = -4 or g = -4

(g+4)^2 = 0

g^2+g-12 = 0

g^2+g-12 = 0

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

DELTA = 49

DELTA > 0

g = (49^(1/2)-1)/(1*2) or g = (-49^(1/2)-1)/(1*2)

g = 3 or g = -4

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

((g+4)^2*(g+1)*(g-3))/((5*g+5)*(g+4)^2) = 0

( g+1 )

g+1 = 0 // - 1

g = -1

( g+4 )

g+4 = 0 // - 4

g = -4

( g-3 )

g-3 = 0 // + 3

g = 3

g in { -1} 

g in { -4} 

g in { 3} 

g belongs to the empty set

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