# How do you solve #3x^2+5x=2# by completing the square?

##### 1 Answer

#### Explanation:

The goal of completing the square is to convert the equation into a perfect square trinomial. The benefit of this form is to be able to identify the vertex of a parabola very easily.

Factor out a 3

Take the coefficient from the x term and divide it by 2 and then square it.

Include

We now have a perfect square trinomial that can be written in a more compact form

Simplify

Convert

Subtract

For more information please see the video tutorials below.