500x^2=8000

Solution for 500x^2=8000 equation:

500x^2=8000

We move all terms to the left:

500x^2-(8000)=0

a = 500; b = 0; c = -8000;
Δ = b2-4ac
Δ = 02-4·500·(-8000)
Δ = 16000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16000000}=4000$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4000}{2*500}=\frac{-4000}{1000}
=-4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4000}{2*500}=\frac{4000}{1000}
=4
$