Looking at x^2 - x - 30, we see that 5*6=30, so we can immediately conclude that x^2 - x - 30 = (x+5)(x-6). check this by multiplication.
2m^2 - 2m - 60 can be reduced to 2(m^2 - m - 30), which in turn can be factored as 2(m+5)(m-6). The trick here is to notice how easily "2" can be factored out of the given equation.