44=x2-20x

Solution for 44=x2-20x equation:

44=x2-20x

We move all terms to the left:

44-(x2-20x)=0

We add all the numbers together, and all the variables

-(+x^2-20x)+44=0

We get rid of parentheses

-x^2+20x+44=0

We add all the numbers together, and all the variables

-1x^2+20x+44=0

a = -1; b = 20; c = +44;
Δ = b2-4ac
Δ = 202-4·(-1)·44
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(20)-24}{2*-1}=\frac{-44}{-2}
=+22
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(20)+24}{2*-1}=\frac{4}{-2}
=-2
$