# How do you factor and solve #2x^2 - 3= 125#?

##### 2 Answers

#### Explanation:

Subtract 125 on both sides

Divide both sides by 2

Using

So

#### Explanation:

Move all the terms to one side of the equation

Now take out a factor of 2

We now have a term in the parentheses that looks like

This is called a **difference of squares**

We can factor a difference of squares like this:

Let's apply this to our expression

This is the fully factored form.

By examining this equation, we can see that the solutions — the values of

and

or simply