6m/(5m-5)-1/(m+6)=1

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Solution for 6m/(5m-5)-1/(m+6)=1 equation: 


D( m )

m+6 = 0

5*m-5 = 0

m+6 = 0

m+6 = 0

m+6 = 0 // - 6

m = -6

5*m-5 = 0

5*m-5 = 0

5*m-5 = 0 // + 5

5*m = 5 // : 5

m = 5/5

m = 1

m in (-oo:-6) U (-6:1) U (1:+oo)

(6*m)/(5*m-5)-(1/(m+6)) = 1 // - 1

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

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

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

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

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

6*m^2-5*m^2+31*m-25*m+5+30 = 0

m^2+6*m+35 = 0

m^2+6*m+35 = 0

m^2+6*m+35 = 0

DELTA = 6^2-(1*4*35)

DELTA = -104

DELTA < 0

1 = 0

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

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

1 = 0

m belongs to the empty set

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