0=4x^2-44x-44

Solution for 0=4x^2-44x-44 equation:

0=4x^2-44x-44

We move all terms to the left:

0-(4x^2-44x-44)=0

We add all the numbers together, and all the variables

-(4x^2-44x-44)=0

We get rid of parentheses

-4x^2+44x+44=0

a = -4; b = 44; c = +44;
Δ = b2-4ac
Δ = 442-4·(-4)·44
Δ = 2640
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{2640}=\sqrt{16*165}=\sqrt{16}*\sqrt{165}=4\sqrt{165}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(44)-4\sqrt{165}}{2*-4}=\frac{-44-4\sqrt{165}}{-8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(44)+4\sqrt{165}}{2*-4}=\frac{-44+4\sqrt{165}}{-8}
$