Factorise x^2 + 5x + 6= 0

(x +2) (x+3) = 0  

x = -2  x = -3

Step-by-step explanation:

x^2 + 5x+ 6 = 0

To remember how to factor

key word remember word d. a. t. p, c

distribute x,  add two no's, that also multiply, put together, change sign see below.

step 1  distribute square brackets that mean x^2   =  (x   )  (x  )

step 2 add two numbers that add to get 5

step 3  that also multiply to get 6                            =   (+2) (+3) = 0

step 4  put together                                                  = (x +2) (x+3) = 0    

step 5  change sign to = x                                        =  x = -2  x = -3