# How do you solve #6x^2-21x+15=0#?

##### 2 Answers

x=

#### Explanation:

Start by simplifying your equation by factoring out a 3:

This equation cannot be factored with whole numbers, so you should use the quadratic formula:

So now:

x=

#### Explanation:

In order to complete the square move the last term (term without

Then you want to find a piece that allows you to find a square square of the left hand side

i.e.

or

In this equation

So if we add this term to both sides we get

Now the left hand side can be simplifed into merely

Find a common multiple for 16 and 6 and add them together

Square root both sides