0=x^2-56x+384

Solution for 0=x^2-56x+384 equation:

0=x^2-56x+384

We move all terms to the left:

0-(x^2-56x+384)=0

We add all the numbers together, and all the variables

-(x^2-56x+384)=0

We get rid of parentheses

-x^2+56x-384=0

We add all the numbers together, and all the variables

-1x^2+56x-384=0

a = -1; b = 56; c = -384;
Δ = b2-4ac
Δ = 562-4·(-1)·(-384)
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(56)-40}{2*-1}=\frac{-96}{-2}
=+48
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(56)+40}{2*-1}=\frac{-16}{-2}
=+8
$