0=x(200-2x)

Solution for 0=x(200-2x) equation:

0=x(200-2x)

We move all terms to the left:

0-(x(200-2x))=0

We add all the numbers together, and all the variables

-(x(-2x+200))+0=0

We add all the numbers together, and all the variables

-(x(-2x+200))=0


We calculate terms in parentheses: -(x(-2x+200)), so:

x(-2x+200)

We multiply parentheses

-2x^2+200x

Back to the equation:

-(-2x^2+200x)


We get rid of parentheses

2x^2-200x=0

a = 2; b = -200; c = 0;
Δ = b2-4ac
Δ = -2002-4·2·0
Δ = 40000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{40000}=200$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-200)-200}{2*2}=\frac{0}{4}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-200)+200}{2*2}=\frac{400}{4}
=100
$