1-0.6*x+0.08*x^2=0

Solution for 1-0.6*x+0.08*x^2=0 equation:

1-0.6x+0.08*x^2=0

We add all the numbers together, and all the variables

0.08x^2-0.6x+1=0

a = 0.08; b = -0.6; c = +1;
Δ = b2-4ac
Δ = -0.62-4·0.08·1
Δ = 0.04
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{-(-0.6)-\sqrt{0.04}}{2*0.08}=\frac{0.6-\sqrt{0.04}}{0.16}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.6)+\sqrt{0.04}}{2*0.08}=\frac{0.6+\sqrt{0.04}}{0.16}
$