-2x2=-338

Solution for -2x2=-338 equation:

-2x^2=-338

We move all terms to the left:

-2x^2-(-338)=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
$