How do you solve #x^ { 2} + 14x = - 13#?

1 Answer
Dec 9, 2016

You can start by adding #13# to both sides, so the right part will be #0#

Explanation:

#->x^2+14x+13=0#

We now need to factorize #13# into two factors that add up to #14#
These will be #+1and+13#

Now:
#(x+1)(x+13)=0->#

#(x+1)=0->x=-1or#
#(x+13)=0->x=-13#