2*(0.4-0.8x)*(0.6-0.8x)=0

Solution for 2*(0.4-0.8x)*(0.6-0.8x)=0 equation:

2(0.4-0.8x)(0.6-0.8x)=0

We add all the numbers together, and all the variables

2(-0.8x+0.4)(-0.8x+0.6)=0

We multiply parentheses ..

2(+0x^2+0x+0x+0.24)=0

We multiply parentheses

0x^2+0x+0x+0.48=0

We add all the numbers together, and all the variables

x^2+2x+0.48=0

a = 1; b = 2; c = +0.48;
Δ = b2-4ac
Δ = 22-4·1·0.48
Δ = 2.08
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{2.08}}{2*1}=\frac{-2-\sqrt{2.08}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+\sqrt{2.08}}{2*1}=\frac{-2+\sqrt{2.08}}{2}
$