x(2-x)=0.84

Solution for x(2-x)=0.84 equation:

x(2-x)=0.84

We move all terms to the left:

x(2-x)-(0.84)=0

We add all the numbers together, and all the variables

x(-1x+2)-(0.84)=0

We add all the numbers together, and all the variables

x(-1x+2)-0.84=0

We multiply parentheses

-1x^2+2x-0.84=0

a = -1; b = 2; c = -0.84;
Δ = b2-4ac
Δ = 22-4·(-1)·(-0.84)
Δ = 0.64
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{0.64}}{2*-1}=\frac{-2-\sqrt{0.64}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+\sqrt{0.64}}{2*-1}=\frac{-2+\sqrt{0.64}}{-2}
$