0=x2-16x+44

Solution for 0=x2-16x+44 equation:

0=x2-16x+44

We move all terms to the left:

0-(x2-16x+44)=0

We add all the numbers together, and all the variables

-(+x^2-16x+44)+0=0

We add all the numbers together, and all the variables

-(+x^2-16x+44)=0

We get rid of parentheses

-x^2+16x-44=0

We add all the numbers together, and all the variables

-1x^2+16x-44=0

a = -1; b = 16; c = -44;
Δ = b2-4ac
Δ = 162-4·(-1)·(-44)
Δ = 80
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:

$\sqrt{\Delta}=\sqrt{80}=\sqrt{16*5}=\sqrt{16}*\sqrt{5}=4\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-4\sqrt{5}}{2*-1}=\frac{-16-4\sqrt{5}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+4\sqrt{5}}{2*-1}=\frac{-16+4\sqrt{5}}{-2}
$