Answer :
First we want to put this into standard form.
Subtract (x^2+4x+11) from both sides
x^2-4x-12
Then factor the trinomial
(x-6)(x+2)
Use the zero product property to find roots
(x-6)=0
x=6
(x+2)=0
x=-2
Final answers: x=-2, x=6
Subtract (x^2+4x+11) from both sides
x^2-4x-12
Then factor the trinomial
(x-6)(x+2)
Use the zero product property to find roots
(x-6)=0
x=6
(x+2)=0
x=-2
Final answers: x=-2, x=6