To solve this equation, we need to expand the left side and set it equal to the right side:

h^2 - (1 - r)h - 2r = 2r^2
h^2 - h + rh - 2r = 2r^2
h^2 - h + rh - 2r - 2r^2 = 0

Now we have a quadratic equation in terms of h. To solve it, we can use the quadratic formula:

h = [(-r) ± √((-r)^2 - 4(1)(r - 2r^2))] / 2
h = [(-r) ± √(r^2 + 4r - 8r^2)] / 2
h = [(-r) ± √(-7r^2 + 4r)] / 2

Therefore, the solution to the equation h^2 - (1 - r)h - 2r = 2r^2 is:
h = (-r ± √(-7r^2 + 4r)) / 2