# How do you solve 3x^2 - 8 = 4?

Set the expression equal to 0, then simplify and solve to get to $x = 2 , - 2$

#### Explanation:

$3 {x}^{2} - 8 = 4$

Subtract 4 from both sides to set the right side of the equation to 0 and we have:

$3 {x}^{2} - 12 = 0$

We can then divide both sides by 3:

${x}^{2} - 4 = 0$

And factor that:

$\left(x + 2\right) \left(x - 2\right) = 0$

Now let's solve each one:

$x + 2 = 0$
$x = - 2$

$x - 2 = 0$
$x = 2$

And so $x = 2 , - 2$