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

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Solution for (7/m+4)+(8/m)=(2m+4)/(m^2+4m) equation: 


D( m )

m = 0

m^2+4*m = 0

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

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

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

(-1*(2*m+4))/(m*(m+4))+7/m+8/m+4 = 0

(-1*(2*m+4))/(m*(m+4))+(7*(m+4))/(m*(m+4))+(8*(m+4))/(m*(m+4))+(4*m*(m+4))/(m*(m+4)) = 0

7*(m+4)-1*(2*m+4)+8*(m+4)+4*m*(m+4) = 0

4*m^2+5*m+8*m+16*m+24+32 = 0

4*m^2+13*m+16*m+56 = 0

4*m^2+29*m+56 = 0

4*m^2+29*m+56 = 0

4*m^2+29*m+56 = 0

DELTA = 29^2-(4*4*56)

DELTA = -55

DELTA < 0

1 = 0

1/(m*(m+4)) = 0

1/(m*(m+4)) = 0 // * m*(m+4)

1 = 0

m belongs to the empty set

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