x^2-1.6x=0.6=0

Solution for x^2-1.6x=0.6=0 equation:

x^2-1.6x=0.6=0

We move all terms to the left:

x^2-1.6x-(0.6)=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 = 4.96
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{4.96}}{2*1}=\frac{1.6-\sqrt{4.96}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.6)+\sqrt{4.96}}{2*1}=\frac{1.6+\sqrt{4.96}}{2}
$