1. Understand the problem:

We need to find two numbers that add up to -15 and multiply to 36.

2. Think about factors:

* The factors of 36 are the numbers that multiply together to give 36. Some of these factors are:

* 1 and 36

* 2 and 18

* 3 and 12

* 4 and 9

* 6 and 6

3. Find the right combination:

* Notice that -12 and -3 add up to -15 and multiply to 36.

Answer: The two numbers are -12 and -3.