The first step getting these answers is to make the equation equal to zero. To do this, you subtract 4 from both sides. After that, you would factor the following equation x^2 - 12x + 32 = 0, To do this you would find number that when multiplied together give you 32 as well as add up to -12. -4 and -8 are the answers that will give you this. Rewrite the equation as (x + -4) (x + -8) = 0. You need to see what numbers would give you zero in both problems. They would be 4 and 8. These are the 2 possible solutions.