0.72=x(2-x)

Solution for 0.72=x(2-x) equation:

0.72=x(2-x)

We move all terms to the left:

0.72-(x(2-x))=0

We add all the numbers together, and all the variables

-(x(-1x+2))+0.72=0


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

x(-1x+2)

We multiply parentheses

-1x^2+2x

Back to the equation:

-(-1x^2+2x)


We get rid of parentheses

1x^2-2x+0.72=0

We add all the numbers together, and all the variables

x^2-2x+0.72=0

a = 1; b = -2; c = +0.72;
Δ = b2-4ac
Δ = -22-4·1·0.72
Δ = 1.12
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)-\sqrt{1.12}}{2*1}=\frac{2-\sqrt{1.12}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+\sqrt{1.12}}{2*1}=\frac{2+\sqrt{1.12}}{2}
$