Solve using the zero product property x^2+11x+30=0

First, we must factor the equation. To do so, we need to find factors of 30 that also add up to eleven. 5 and 6 will do the trick. The equation factors as such:
(x+5)(x+6). Using the zero product property, x can equal either -5 or -6, either of which will make the equation equal zero.

First you need to factor the equation 
x^2+11x+30 
You can do this by asking yourself: 
"What multiplies to 30 but adds up to 11?" 

In this case, 6 and 5 work 
Factor: 
(x+6)(x+5) 
If you were to foil the factored form you would get 
x^2+11x+30 
 The Zero Product Property is where you set your factored forms to zero like so: 
x+6=0 
x+5=0 
And then you would solve for x 
Final  
x=-6 or x=-5