2x^2-8=330

Solution for 2x^2-8=330 equation:

2x^2-8=330

We move all terms to the left:

2x^2-8-(330)=0

We add all the numbers together, and all the variables

2x^2-338=0

a = 2; b = 0; c = -338;
Δ = b2-4ac
Δ = 02-4·2·(-338)
Δ = 2704
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2704}=52$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-52}{2*2}=\frac{-52}{4}
=-13
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+52}{2*2}=\frac{52}{4}
=13
$