0=2x^2-2x-264

Solution for 0=2x^2-2x-264 equation:

0=2x^2-2x-264

We move all terms to the left:

0-(2x^2-2x-264)=0

We add all the numbers together, and all the variables

-(2x^2-2x-264)=0

We get rid of parentheses

-2x^2+2x+264=0

a = -2; b = 2; c = +264;
Δ = b2-4ac
Δ = 22-4·(-2)·264
Δ = 2116
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2116}=46$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-46}{2*-2}=\frac{-48}{-4}
=+12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+46}{2*-2}=\frac{44}{-4}
=-11
$