# How do you solve  2x^4 = 16x^2?

Mar 21, 2016

set the equation equal to zero and factor

#### Explanation:

You can either set the equation equal to zero and factor or you can proceed as follows:
divide both sides by 2
divide both sides by x^2
then set the equation = 0

Mar 21, 2016

Put both terms to one side of the equation and then factor.

#### Explanation:

$2 {x}^{4} - 16 {x}^{2} = 0$

$2 {x}^{2} \left({x}^{2} - 8\right) = 0$

$x = 0 \mathmr{and} \pm \sqrt{8}$

Hopefully this helps!