x=9x^2-1000x+1.8-0.8x

Solution for x=9x^2-1000x+1.8-0.8x equation:

x=9x^2-1000x+1.8-0.8x

We move all terms to the left:

x-(9x^2-1000x+1.8-0.8x)=0

We get rid of parentheses

-9x^2+x+1000x+0.8x-1.8=0

We add all the numbers together, and all the variables

-9x^2+1001.8x-1.8=0

a = -9; b = 1001.8; c = -1.8;
Δ = b2-4ac
Δ = 1001.82-4·(-9)·(-1.8)
Δ = 1003538.44
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{-(1001.8)-\sqrt{1003538.44}}{2*-9}=\frac{-1001.8-\sqrt{1003538.44}}{-18}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1001.8)+\sqrt{1003538.44}}{2*-9}=\frac{-1001.8+\sqrt{1003538.44}}{-18}
$