x^2+1.6x+0.64=0.04

Solution for x^2+1.6x+0.64=0.04 equation:

x^2+1.6x+0.64=0.04

We move all terms to the left:

x^2+1.6x+0.64-(0.04)=0

We add all the numbers together, and all the variables

x^2+1.6x+0.6=0

a = 1; b = 1.6; c = +0.6;
Δ = b2-4ac
Δ = 1.62-4·1·0.6
Δ = 0.16
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{-(1.6)-\sqrt{0.16}}{2*1}=\frac{-1.6-\sqrt{0.16}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.6)+\sqrt{0.16}}{2*1}=\frac{-1.6+\sqrt{0.16}}{2}
$