(4/(m+4))+(5/m)=((3m+4)/(m^2+4m))

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Solution for (4/(m+4))+(5/m)=((3m+4)/(m^2+4m)) equation:


D( m )

m+4 = 0

m = 0

m^2+4*m = 0

m+4 = 0

m+4 = 0

m+4 = 0 // - 4

m = -4

m = 0

m = 0

m^2+4*m = 0

m^2+4*m = 0

m^2+4*m = 0

DELTA = 4^2-(0*1*4)

DELTA = 16

DELTA > 0

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

m = 0 or m = -4

m in (-oo:-4) U (-4:0) U (0:+oo)

4/(m+4)+5/m = (3*m+4)/(m^2+4*m) // - (3*m+4)/(m^2+4*m)

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

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

m^2+4*m = 0

m^2+4*m = 0

m*(m+4) = 0

m+4 = 0 // - 4

m = -4

m*(m+4) = 0

4/(m+4)+(-1*(3*m+4))/(m*(m+4))+5/m = 0

(4*m)/(m*(m+4))+(-1*(3*m+4))/(m*(m+4))+(5*(m+4))/(m*(m+4)) = 0

5*(m+4)-1*(3*m+4)+4*m = 0

m+5*m-4+20 = 0

6*m+16 = 0

(6*m+16)/(m*(m+4)) = 0

(6*m+16)/(m*(m+4)) = 0 // * m*(m+4)

6*m+16 = 0

6*m+16 = 0 // - 16

6*m = -16 // : 6

m = -16/6

m = -8/3

m = -8/3

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