220,5=x*4,5*x

Solution for 220,5=x*4,5*x equation:

220.5=x*4.5x

We move all terms to the left:

220.5-(x*4.5x)=0

We add all the numbers together, and all the variables

-(+x*4.5x)+220.5=0

We get rid of parentheses

-x*4.5x+220.5=0

Wy multiply elements

-4x^2+220.5=0

a = -4; b = 0; c = +220.5;
Δ = b2-4ac
Δ = 02-4·(-4)·220.5
Δ = 3528
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:

$\sqrt{\Delta}=\sqrt{3528}=\sqrt{1764*2}=\sqrt{1764}*\sqrt{2}=42\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-42\sqrt{2}}{2*-4}=\frac{0-42\sqrt{2}}{-8}
=-\frac{42\sqrt{2}}{-8}
=-\frac{21\sqrt{2}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+42\sqrt{2}}{2*-4}=\frac{0+42\sqrt{2}}{-8}
=\frac{42\sqrt{2}}{-8}
=\frac{21\sqrt{2}}{-4}
$