0=(4x^2)-66x+272

Solution for 0=(4x^2)-66x+272 equation:

0=(4x^2)-66x+272

We move all terms to the left:

0-((4x^2)-66x+272)=0

We add all the numbers together, and all the variables

-(4x^2-66x+272)=0

We get rid of parentheses

-4x^2+66x-272=0

a = -4; b = 66; c = -272;
Δ = b2-4ac
Δ = 662-4·(-4)·(-272)
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(66)-2}{2*-4}=\frac{-68}{-8}
=8+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(66)+2}{2*-4}=\frac{-64}{-8}
=+8
$