5/(8m+3)=6/(3-2m)

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Solution for 5/(8m+3)=6/(3-2m) equation:


D( m )

3-(2*m) = 0

8*m+3 = 0

3-(2*m) = 0

3-(2*m) = 0

3-2*m = 0

3-2*m = 0 // - 3

-2*m = -3 // : -2

m = -3/(-2)

m = 3/2

8*m+3 = 0

8*m+3 = 0

8*m+3 = 0 // - 3

8*m = -3 // : 8

m = -3/8

m in (-oo:-3/8) U (-3/8:3/2) U (3/2:+oo)

5/(8*m+3) = 6/(3-(2*m)) // - 6/(3-(2*m))

5/(8*m+3)-(6/(3-(2*m))) = 0

5/(8*m+3)-6*(3-2*m)^-1 = 0

5/(8*m+3)-6/(3-2*m) = 0

(5*(3-2*m))/((8*m+3)*(3-2*m))+(-6*(8*m+3))/((8*m+3)*(3-2*m)) = 0

5*(3-2*m)-6*(8*m+3) = 0

-58*m-3 = 0

(-58*m-3)/((8*m+3)*(3-2*m)) = 0

(-58*m-3)/((8*m+3)*(3-2*m)) = 0 // * (8*m+3)*(3-2*m)

-58*m-3 = 0

-58*m-3 = 0 // + 3

-58*m = 3 // : -58

m = 3/(-58)

m = -3/58

m = -3/58

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