m/(m+4)+4/(4-m)=m^2/(m^2-16)

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Solution for m/(m+4)+4/(4-m)=m^2/(m^2-16) equation: 


D( m )

m+4 = 0

4-m = 0

m^2-16 = 0

m+4 = 0

m+4 = 0

m+4 = 0 // - 4

m = -4

4-m = 0

4-m = 0

4-m = 0 // - 4

-m = -4 // * -1

m = 4

m^2-16 = 0

m^2-16 = 0

1*m^2 = 16 // : 1

m^2 = 16

m^2 = 16 // ^ 1/2

abs(m) = 4

m = 4 or m = -4

m in (-oo:-4) U (-4:4) U (4:+oo)

m/(m+4)+4/(4-m) = (m^2)/(m^2-16) // - (m^2)/(m^2-16)

m/(m+4)+4/(4-m)-((m^2)/(m^2-16)) = 0

m/(m+4)+4/(4-m)+(-1*m^2)/(m^2-16) = 0

(m*(4-m)*(m^2-16))/((m+4)*(4-m)*(m^2-16))+(4*(m+4)*(m^2-16))/((m+4)*(4-m)*(m^2-16))+(-1*m^2*(m+4)*(4-m))/((m+4)*(4-m)*(m^2-16)) = 0

m*(4-m)*(m^2-16)+4*(m+4)*(m^2-16)-1*m^2*(m+4)*(4-m) = 0

m^4-m^4+8*m^3+32*m^2-16*m^2-128*m-256 = 0

8*m^3+16*m^2-128*m-256 = 0

8*m^3+16*m^2-128*m-256 = 0

8*(m^3+2*m^2-16*m-32) = 0

m^3+2*m^2-16*m-32

m*(m^2-16)+2*m^2-32

2*(m^2-16)+m*(m^2-16)

(m+2)*(m^2-16)

8*(m+2)*(m^2-16) = 0

(8*(m+2)*(m^2-16))/((m+4)*(4-m)*(m^2-16)) = 0

(8*(m+2)*(m^2-16))/((m+4)*(4-m)*(m^2-16)) = 0 // * (m+4)*(4-m)*(m^2-16)

8*(m+2)*(m^2-16) = 0

( m+2 )

m+2 = 0 // - 2

m = -2

( m^2-16 )

1*m^2 = 16 // : 1

m^2 = 16

m^2 = 16 // ^ 1/2

abs(m) = 4

m = 4 or m = -4

m in { 4} 

m in { -4} 

m = -2

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