0=x(44-2x)

Solution for 0=x(44-2x) equation:

0=x(44-2x)

We move all terms to the left:

0-(x(44-2x))=0

We add all the numbers together, and all the variables

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

We add all the numbers together, and all the variables

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


We calculate terms in parentheses: -(x(-2x+44)), so:

x(-2x+44)

We multiply parentheses

-2x^2+44x

Back to the equation:

-(-2x^2+44x)


We get rid of parentheses

2x^2-44x=0

a = 2; b = -44; c = 0;
Δ = b2-4ac
Δ = -442-4·2·0
Δ = 1936
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1936}=44$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-44)-44}{2*2}=\frac{0}{4}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-44)+44}{2*2}=\frac{88}{4}
=22
$