(2x-4)(x-2)(2)=484

Solution for (2x-4)(x-2)(2)=484 equation:

(2x-4)(x-2)(2)=484

We move all terms to the left:

(2x-4)(x-2)(2)-(484)=0

We multiply parentheses ..

(+2x^2-4x-4x+8)2-484=0

We multiply parentheses

4x^2-8x-8x+16-484=0

We add all the numbers together, and all the variables

4x^2-16x-468=0

a = 4; b = -16; c = -468;
Δ = b2-4ac
Δ = -162-4·4·(-468)
Δ = 7744
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7744}=88$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-88}{2*4}=\frac{-72}{8}
=-9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+88}{2*4}=\frac{104}{8}
=13
$