# How do you solve #3y^2-12=0#?

##### 3 Answers

#### Explanation:

It is necessary to manipulate the equation so that the unknown variable (here,

To make a start, by inspection, it will be necessary to divide

That is,

implies

that is

This may be rearranged (by adding

To retrieve

So,

implies

that is

or

#### Explanation:

Multiply

Pull out the factors of the equation

So

#### Explanation:

This is a Difference of Two Squares problem -- with a slight disguise because it is multiplied by

The Difference of Two Squares is a case of Special Factoring.

By memorization, the Difference of Two Squares factors like this:

Given

1) Factor out the 3 to see the perfect squares

2) Factor the Difference of the Two Squares

3) Set the factors equal to zero and solve for

Here's a video you can watch to see more about Special Factoring