To solve this equation, we will first simplify the expression on the left side:

(6 - 5m)^2 - 10(2.5m + 1) = 8

Expanding the square:
(6 - 5m)(6 - 5m) - 10(2.5m + 1) = 8
(36 - 30m - 30m + 25m^2) - 10(2.5m) - 10 = 8
(36 - 60m + 25m^2) - 25m - 10 = 8
25m^2 - 85m + 26 = 8

Now we have a quadratic equation:
25m^2 - 85m + 26 = 8

Rearrange the equation to set it equal to zero:
25m^2 - 85m + 18 = 0

Now, we need to solve this quadratic equation for m using the quadratic formula:

m = [ -(-85) ± sqrt((-85)^2 - 42518) ] / 2*25
m = [ 85 ± sqrt(7225 - 1800) ] / 50
m = [ 85 ± sqrt(5425) ] / 50
m = [ 85 ± 73.63 ] / 50

Therefore, the solutions for m are:
m = (85 + 73.63) / 50 = 3.17726
m = (85 - 73.63) / 50 = 0.2334

Therefore, m can be either approximately 3.17726 or 0.2334.