(6/m+5)+7/m=((3m+5)/(m^2+5m))

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Solution for (6/m+5)+7/m=((3m+5)/(m^2+5m)) equation:


D( m )

m^2+5*m = 0

m = 0

m^2+5*m = 0

m^2+5*m = 0

m^2+5*m = 0

DELTA = 5^2-(0*1*4)

DELTA = 25

DELTA > 0

m = (25^(1/2)-5)/(1*2) or m = (-25^(1/2)-5)/(1*2)

m = 0 or m = -5

m = 0

m = 0

m in (-oo:-5) U (-5:0) U (0:+oo)

6/m+7/m+5 = (3*m+5)/(m^2+5*m) // - (3*m+5)/(m^2+5*m)

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

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

m^2+5*m = 0

m^2+5*m = 0

m*(m+5) = 0

m+5 = 0 // - 5

m = -5

m*(m+5) = 0

(-1*(3*m+5))/(m*(m+5))+6/m+7/m+5 = 0

(-1*(3*m+5))/(m*(m+5))+(6*(m+5))/(m*(m+5))+(7*(m+5))/(m*(m+5))+(5*m*(m+5))/(m*(m+5)) = 0

6*(m+5)-1*(3*m+5)+7*(m+5)+5*m*(m+5) = 0

5*m^2+3*m+7*m+25*m+25+35 = 0

5*m^2+10*m+25*m+60 = 0

5*m^2+35*m+60 = 0

5*m^2+35*m+60 = 0

5*(m^2+7*m+12) = 0

m^2+7*m+12 = 0

DELTA = 7^2-(1*4*12)

DELTA = 1

DELTA > 0

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

m = -3 or m = -4

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

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

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

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

( m+3 )

m+3 = 0 // - 3

m = -3

( m+4 )

m+4 = 0 // - 4

m = -4

m in { -3, -4 }

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