How do you solve using the completing the square method #x^2 + 10x + 14 = -7#?
The first thing you'll want to do is take the constant terms and put them to one side of the equation. In this case, that means subtracting
Now you want to take half of the
Note that the left side of this equation is a perfect square: it factors into
We can take the square root of both sides:
Our solutions are therefore