0.2x^2=500

Solution for 0.2x^2=500 equation:

0.2x^2=500

We move all terms to the left:

0.2x^2-(500)=0

a = 0.2; b = 0; c = -500;
Δ = b2-4ac
Δ = 02-4·0.2·(-500)
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20}{2*0.2}=\frac{-20}{0.4}
=-50
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20}{2*0.2}=\frac{20}{0.4}
=50
$