0.2x^2=4000

Solution for 0.2x^2=4000 equation:

0.2x^2=4000

We move all terms to the left:

0.2x^2-(4000)=0

a = 0.2; b = 0; c = -4000;
Δ = b2-4ac
Δ = 02-4·0.2·(-4000)
Δ = 3200
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{3200}=\sqrt{1600*2}=\sqrt{1600}*\sqrt{2}=40\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-40\sqrt{2}}{2*0.2}=\frac{0-40\sqrt{2}}{0.4}
=-\frac{40\sqrt{2}}{0.4}
=-\frac{\sqrt{2}}{0.01}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+40\sqrt{2}}{2*0.2}=\frac{0+40\sqrt{2}}{0.4}
=\frac{40\sqrt{2}}{0.4}
=\frac{\sqrt{2}}{0.01}
$