# How do you solve by completing the square: #2x^2 + 4x +1 = 0#?

##### 2 Answers

Add one and then divide by 2

#### Explanation:

First add 1 to each side

Then divide each side by two:

Then you see that

Take the square root of each side:

#### Explanation:

First divide both sides of the equation by 2.

**Equation 1**

Now add

Now we can factor the left-hand side of the equation.

Now let's write the equation as the difference of two squares.

The square root of

Therefore the solution to this equation is

FOOTNOTE:

Why did I pick **Equation 1**? I looked at the coefficient for the **Equation 1** which is 2. I divided 2 by 2 and then squared the result. **Equation 1** to be. This is why I added