How do I solve a quadratic equation?

In a quadratic equation the highest power is 2. This means that we are looking for up to 2 answers. The first thing we are going to try to do is factorise the equation. We draw two sets of brackets side by side. In each bracket, we will have x +/- some number. We need to work out what those numbers should be. (Shows example equation) In this example the number next to the x term is 5 and the number out here on its own is 6. We need to find two numbers which multiply to together to make 6 and also add together to make 5. Can you think of any? (Once answer is found or given) So now we write x+2 in the first bracket and x+3 in the second bracket. See how this whole equation is equal to 0? That means that the answers to the equation have to be something + 2 = 0 and something + 3 = 0. So what would the two answers be?(Once answer is found or given) To check that you are right replace the Xs with each answer to see if you get zero.