0=4x2-64x+192

Solution for 0=4x2-64x+192 equation:

0=4x^2-64x+192

We move all terms to the left:

0-(4x^2-64x+192)=0

We add all the numbers together, and all the variables

-(4x^2-64x+192)=0

We get rid of parentheses

-4x^2+64x-192=0

a = -4; b = 64; c = -192;
Δ = b2-4ac
Δ = 642-4·(-4)·(-192)
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(64)-32}{2*-4}=\frac{-96}{-8}
=+12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(64)+32}{2*-4}=\frac{-32}{-8}
=+4
$