(2x-2)(x)=264

Solution for (2x-2)(x)=264 equation:

(2x-2)(x)=264

We move all terms to the left:

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

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