this mean that
16/5 = 2m -2m^2 so multiplie both sides by 5 and will get
16 = 10m -10m^2 multiplie both sides by minus 1
-16 = 10m^2 -10m add to both sides 16
10m^2 -10m +16 = 0
2(5m^2 -5m +8) = 0 divide both sides by 2
5m^2 -5m +8 = 0
discriminant less than zero so have not real roots
suppose on the left side there are
(2m^2 +16)/5 = 2m multiply both sides by 5
2m^2 +16 = 10m subtract from both sides 10m
2m^2 -10m +16 = 0
2(m^2 -5m +8) = 0 divide both sides by 2
m^2 -5m +8 = 0
discriminant = 25 -32 = - 7 so minus 7 < 0 have not real roots
hope helped