Solve equation 18m2 3m 2 6m 3 what is Lcd Can you find s

Solve equation 18/m^2 - 3m + 2 = 6/m - 3 what is Lcd? Can you find solution using quadratic formula?

18/(m^2 -3m) +2 = 6/(m-3)

LCD is the least common multiple of the denominators of a set of fractions.

So in this case (m^2 -3m) is the LCD

18/(m^2 -3m) + 2 -6/(m-3) =0

(18 + 2(m^2 -3m) -6m )/(m^2 -3m) =0

18 +2m^2 -6m -6m =0

equating numeartor to 0

2m^2 -12m +18 =0

m^2 -6m +9 =0

Using quadratic root formula:

m = ( -b +/- sqrt( b^2 -4ac) )/2a

= ( 6 +/- sqrt( 36 - 36)/2

= 6 /2 = 3

m=3 ( solution)