((m^2-4m-21)/(m^2-5m-14))+((m^2+5m+6)/(m^2+2m-3))

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Solution for ((m^2-4m-21)/(m^2-5m-14))+((m^2+5m+6)/(m^2+2m-3)) equation: 


D( m )

m^2-(5*m)-14 = 0

m^2+2*m-3 = 0

m^2-(5*m)-14 = 0

m^2-(5*m)-14 = 0

m^2-5*m-14 = 0

m^2-5*m-14 = 0

DELTA = (-5)^2-(-14*1*4)

DELTA = 81

DELTA > 0

m = (81^(1/2)+5)/(1*2) or m = (5-81^(1/2))/(1*2)

m = 7 or m = -2

m^2+2*m-3 = 0

m^2+2*m-3 = 0

m^2+2*m-3 = 0

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

DELTA = 16

DELTA > 0

m = (16^(1/2)-2)/(1*2) or m = (-16^(1/2)-2)/(1*2)

m = 1 or m = -3

m in (-oo:-3) U (-3:-2) U (-2:1) U (1:7) U (7:+oo)

(m^2-(4*m)-21)/(m^2-(5*m)-14)+(m^2+5*m+6)/(m^2+2*m-3) = 0

(m^2-4*m-21)/(m^2-5*m-14)+(m^2+5*m+6)/(m^2+2*m-3) = 0

m^2-5*m-14 = 0

m^2-5*m-14 = 0

m^2-5*m-14 = 0

DELTA = (-5)^2-(-14*1*4)

DELTA = 81

DELTA > 0

m = (81^(1/2)+5)/(1*2) or m = (5-81^(1/2))/(1*2)

m = 7 or m = -2

(m+2)*(m-7) = 0

m^2+2*m-3 = 0

m^2+2*m-3 = 0

m^2+2*m-3 = 0

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

DELTA = 16

DELTA > 0

m = (16^(1/2)-2)/(1*2) or m = (-16^(1/2)-2)/(1*2)

m = 1 or m = -3

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

(m^2-4*m-21)/((m+2)*(m-7))+(m^2+5*m+6)/((m+3)*(m-1)) = 0

((m^2-4*m-21)*(m+3)*(m-1))/((m+2)*(m-7)*(m+3)*(m-1))+((m^2+5*m+6)*(m+2)*(m-7))/((m+2)*(m-7)*(m+3)*(m-1)) = 0

(m^2-4*m-21)*(m+3)*(m-1)+(m^2+5*m+6)*(m+2)*(m-7) = 0

2*m^4-2*m^3-65*m^2-130*m-21 = 0

2*m^4-2*m^3-65*m^2-130*m-21 = 0

2*m^4-2*m^3-65*m^2-130*m-21 = 0

{ 1, -1, 3, -3, 7, -7, 21, -21 }

1

m = 1

2*m^4-2*m^3-65*m^2-130*m-21 = -216

1

-1

m = -1

2*m^4-2*m^3-65*m^2-130*m-21 = 48

-1

3

m = 3

2*m^4-2*m^3-65*m^2-130*m-21 = -888

3

-3

m = -3

2*m^4-2*m^3-65*m^2-130*m-21 = 0

-3

m+3

2*m^3-8*m^2-41*m-7

2*m^4-2*m^3-65*m^2-130*m-21

m+3

-2*m^4-6*m^3

-8*m^3-65*m^2-130*m-21

8*m^3+24*m^2

-41*m^2-130*m-21

41*m^2+123*m

-7*m-21

7*m+21

0

2*m^3-8*m^2-41*m-7 = 0

{ 1, -1, 7, -7 }

1

m = 1

2*m^3-8*m^2-41*m-7 = -54

1

-1

m = -1

2*m^3-8*m^2-41*m-7 = 24

-1

7

m = 7

2*m^3-8*m^2-41*m-7 = 0

7

m-7

2*m^2+6*m+1

2*m^3-8*m^2-41*m-7

m-7

14*m^2-2*m^3

6*m^2-41*m-7

42*m-6*m^2

m-7

7-m

0

2*m^2+6*m+1 = 0

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

DELTA = 28

DELTA > 0

m = (28^(1/2)-6)/(2*2) or m = (-28^(1/2)-6)/(2*2)

m = (2*7^(1/2)-6)/4 or m = (-2*7^(1/2)-6)/4

m in { (-2*7^(1/2)-6)/4, (2*7^(1/2)-6)/4, -3, 7} 

(m-((-2*7^(1/2)-6)/4))*(m-((2*7^(1/2)-6)/4))*(m+3)*(m-7) = 0

((m-((-2*7^(1/2)-6)/4))*(m-((2*7^(1/2)-6)/4))*(m+3)*(m-7))/((m+2)*(m-7)*(m+3)*(m-1)) = 0

((m-((-2*7^(1/2)-6)/4))*(m-((2*7^(1/2)-6)/4))*(m+3)*(m-7))/((m+2)*(m-7)*(m+3)*(m-1)) = 0 // * (m+2)*(m-7)*(m+3)*(m-1)

(m-((-2*7^(1/2)-6)/4))*(m-((2*7^(1/2)-6)/4))*(m+3)*(m-7) = 0

( m+3 )

m+3 = 0 // - 3

m = -3

( m-((-2*7^(1/2)-6)/4) )

m-((-2*7^(1/2)-6)/4) = 0 // + (-2*7^(1/2)-6)/4

m = (-2*7^(1/2)-6)/4

( m-((2*7^(1/2)-6)/4) )

m-((2*7^(1/2)-6)/4) = 0 // + (2*7^(1/2)-6)/4

m = (2*7^(1/2)-6)/4

( m-7 )

m-7 = 0 // + 7

m = 7

m in { -3} 

m in { 7} 

m in { (-2*7^(1/2)-6)/4, (2*7^(1/2)-6)/4 }

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