0.8844=(-1x*x+2*x)*100

Solution for 0.8844=(-1x*x+2*x)*100 equation:

0.8844=(-1x*x+2x)*100

We move all terms to the left:

0.8844-((-1x*x+2x)*100)=0

We add all the numbers together, and all the variables

-((+2x-1x*x)*100)+0.8844=0


We calculate terms in parentheses: -((+2x-1x*x)*100), so:

(+2x-1x*x)*100

We multiply parentheses

-100x^2+200x

Back to the equation:

-(-100x^2+200x)


We get rid of parentheses

100x^2-200x+0.8844=0

a = 100; b = -200; c = +0.8844;
Δ = b2-4ac
Δ = -2002-4·100·0.8844
Δ = 39646.24
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-200)-\sqrt{39646.24}}{2*100}=\frac{200-\sqrt{39646.24}}{200}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-200)+\sqrt{39646.24}}{2*100}=\frac{200+\sqrt{39646.24}}{200}
$