# How to factor #2x^2+3x+1=0# ?

##### 1 Answer

#### Explanation:

To solve this we must understand how to factor:

if

Then you need to find two numbers who sum to make

So in this circumstance:

Plus to make

Pairs of numbers who multiply to make

But out of these we see that

So we can use the fact that

Now we can factor the first 2 and last 2 terms individually, but ensuring they both have the same factor:

Factoring out the

If we want to solve for

So hence

Also