(5)/(3m-1)-(2)/(1-3m)

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Solution for (5)/(3m-1)-(2)/(1-3m) equation: 


D( m )

3*m-1 = 0

1-(3*m) = 0

3*m-1 = 0

3*m-1 = 0

3*m-1 = 0 // + 1

3*m = 1 // : 3

m = 1/3

1-(3*m) = 0

1-(3*m) = 0

1-3*m = 0

1-3*m = 0 // - 1

-3*m = -1 // : -3

m = -1/(-3)

m = 1/3

m in (-oo:1/3) U (1/3:+oo)

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

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

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

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

5*(1-3*m)-2*(3*m-1) = 0

7-21*m = 0

(7-21*m)/((3*m-1)*(1-3*m)) = 0

(7-21*m)/((3*m-1)*(1-3*m)) = 0 // * (3*m-1)*(1-3*m)

7-21*m = 0

7-21*m = 0 // - 7

-21*m = -7 // : -21

m = -7/(-21)

m = 1/3

m in { 1/3} 

m belongs to the empty set

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