0=4x^2+380x+6600

Solution for 0=4x^2+380x+6600 equation:

0=4x^2+380x+6600

We move all terms to the left:

0-(4x^2+380x+6600)=0

We add all the numbers together, and all the variables

-(4x^2+380x+6600)=0

We get rid of parentheses

-4x^2-380x-6600=0

a = -4; b = -380; c = -6600;
Δ = b2-4ac
Δ = -3802-4·(-4)·(-6600)
Δ = 38800
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:

$\sqrt{\Delta}=\sqrt{38800}=\sqrt{400*97}=\sqrt{400}*\sqrt{97}=20\sqrt{97}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-380)-20\sqrt{97}}{2*-4}=\frac{380-20\sqrt{97}}{-8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-380)+20\sqrt{97}}{2*-4}=\frac{380+20\sqrt{97}}{-8}
$