5/(m-9)=-6/(2m+1)

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Solution for 5/(m-9)=-6/(2m+1) equation: 


D( m )

2*m+1 = 0

m-9 = 0

2*m+1 = 0

2*m+1 = 0

2*m+1 = 0 // - 1

2*m = -1 // : 2

m = -1/2

m-9 = 0

m-9 = 0

m-9 = 0 // + 9

m = 9

m in (-oo:-1/2) U (-1/2:9) U (9:+oo)

5/(m-9) = -6/(2*m+1) // + -6/(2*m+1)

5/(m-9)-(-6/(2*m+1)) = 0

5/(m-9)+6*(2*m+1)^-1 = 0

5/(m-9)+6/(2*m+1) = 0

(5*(2*m+1))/((m-9)*(2*m+1))+(6*(m-9))/((m-9)*(2*m+1)) = 0

5*(2*m+1)+6*(m-9) = 0

16*m-49 = 0

(16*m-49)/((m-9)*(2*m+1)) = 0

(16*m-49)/((m-9)*(2*m+1)) = 0 // * (m-9)*(2*m+1)

16*m-49 = 0

16*m-49 = 0 // + 49

16*m = 49 // : 16

m = 49/16

m = 49/16

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