The correct factorization should be (2h + 1)(h - 2)
In order to get this we need to take the original form and cross multiply.
h(3 - h) = h^2 - 2
3h - h^2 = h^2 - 2
Now we would solve for 0.
3h - h^2 = h^2 - 2 ---> add h^2 to both sides
3h = 2h^2 - 2 ---> subtract 3h from both sides
0 = 2h^2 - 3h - 2
Now that we have this, we can look for factors of the first number for the front of the parenthesis and factors of the last number for the end.
(2h + 1)(h - 2)
