Question

divide 12 into two parts such that their product is 32

Answer 1

It's very simple : 8 and 4

8 + 4 = 12
8 × 4 = 32

Answer 2

Let one number be x.

Then the other number will be 12 - x.

Given x^2 - 12x + 32 = 0

          (x-4)(x-8) = 0

          so the numbers are 4 and 8.