2=0.2x2

Solution for 2=0.2x2 equation:

2=0.2x^2

We move all terms to the left:

2-(0.2x^2)=0

We get rid of parentheses

-0.2x^2+2=0

a = -0.2; b = 0; c = +2;
Δ = b2-4ac
Δ = 02-4·(-0.2)·2
Δ = 1.6
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)-\sqrt{1.6}}{2*-0.2}=\frac{0-\sqrt{1.6}}{-0.4}
=-\frac{\sqrt{}}{-0.4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{1.6}}{2*-0.2}=\frac{0+\sqrt{1.6}}{-0.4}
=\frac{\sqrt{}}{-0.4}
$