X^2=8000x

Solution for X^2=8000x equation:

X^2=8000X

We move all terms to the left:

X^2-(8000X)=0

a = 1; b = -8000; c = 0;
Δ = b2-4ac
Δ = -80002-4·1·0
Δ = 64000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64000000}=8000$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8000)-8000}{2*1}=\frac{0}{2}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8000)+8000}{2*1}=\frac{16000}{2}
=8000
$