To factorise a quadratic we first need to think of factors of the number term (The 6).
Factors of 6 are 1 & 6 and 2 & 3.
What combination of addition or subtraction of these factor pairs will produce the second number (which is positive 1x)
3 minus 2 will give us 1, so we will use this pair
Throw up your brackets with the x's and the number pair we chose
(x 2) (x 3)
We chose 3 minus 2
So in our brackets we will put positive 3, negative 2
(x - 2) (x + 3)