x^2=1.6-0.6x

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

x^2=1.6-0.6x

We move all terms to the left:

x^2-(1.6-0.6x)=0

We add all the numbers together, and all the variables

x^2-(-0.6x+1.6)=0

We get rid of parentheses

x^2+0.6x-1.6=0

a = 1; b = 0.6; c = -1.6;
Δ = b2-4ac
Δ = 0.62-4·1·(-1.6)
Δ = 6.76
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{6.76}}{2*1}=\frac{-0.6-\sqrt{6.76}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.6)+\sqrt{6.76}}{2*1}=\frac{-0.6+\sqrt{6.76}}{2}
$