0.660(1.00-x)(2.00-x)=x

Solution for 0.660(1.00-x)(2.00-x)=x equation:

0.660(1.00-x)(2.00-x)=x

We move all terms to the left:

0.660(1.00-x)(2.00-x)-(x)=0

We add all the numbers together, and all the variables

0.660(-1x+1)(-1x+2)-x=0

We add all the numbers together, and all the variables

-1x+0.660(-1x+1)(-1x+2)=0

We multiply parentheses ..

0.660(+x^2-2x-1x+2)-1x=0

We multiply parentheses

0.66x^2-1.32x-0.66x-1x+1.32=0

We add all the numbers together, and all the variables

0.66x^2-2.98x+1.32=0

a = 0.66; b = -2.98; c = +1.32;
Δ = b2-4ac
Δ = -2.982-4·0.66·1.32
Δ = 5.3956
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{-(-2.98)-\sqrt{5.3956}}{2*0.66}=\frac{2.98-\sqrt{5.3956}}{1.32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.98)+\sqrt{5.3956}}{2*0.66}=\frac{2.98+\sqrt{5.3956}}{1.32}
$