7/(m+4)+(8/m)=(3m+4)/(m^2+4m)

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Solution for 7/(m+4)+(8/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)

7/(m+4)+8/m = (3*m+4)/(m^2+4*m) // - (3*m+4)/(m^2+4*m)

7/(m+4)-((3*m+4)/(m^2+4*m))+8/m = 0

7/(m+4)+(-1*(3*m+4))/(m^2+4*m)+8/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

7/(m+4)+(-1*(3*m+4))/(m*(m+4))+8/m = 0

(7*m)/(m*(m+4))+(-1*(3*m+4))/(m*(m+4))+(8*(m+4))/(m*(m+4)) = 0

8*(m+4)-1*(3*m+4)+7*m = 0

4*m+8*m-4+32 = 0

12*m+28 = 0

(12*m+28)/(m*(m+4)) = 0

(12*m+28)/(m*(m+4)) = 0 // * m*(m+4)

12*m+28 = 0

12*m+28 = 0 // - 28

12*m = -28 // : 12

m = -28/12

m = -7/3

m = -7/3

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