# What is x if #(4x+3)^2=7#?

##### 3 Answers

As the quadratic formula says, from here on I leave you

#### Explanation:

First we expand the left hand side of the equation, by multiplying

Giving us

Now we get all terms to one side and combine

Now we can divide all by the constant

Now we can divide

Which simplifies to

Now this does not factor, we have to use the Quadratic Formula which is,

Quadratic Formula is

Where

Now we just plug it in

You can split this up like so

After multipying and combining like terms we get

This then becomes

They have common denominators so we can have this

#### Explanation:

We have:

This problem can be done without the use of the quadratic formula.

Let's take the square root of both sides of the equation:

Subtracting

Dividing both sides by