Suppose a and b are integers. How many solutions are there to the equation \($ab = 2a + 3b?$\)thx in advance!

ab = 2a + 3b a = (3 b)/(b - 2), and b cannot=2 b = (2 a)/(a - 3), and a cannot=3

Solutions: a = -3, b = 1 a = 0, b = 0 a = 1, b = -1 a = 2, b = -4 a = 4, b = 8 a = 5, b = 5 a = 6, b = 4 a = 9, b = 3