0=-2x^2+6000x

Solution for 0=-2x^2+6000x equation:

0=-2x^2+6000x

We move all terms to the left:

0-(-2x^2+6000x)=0

We add all the numbers together, and all the variables

-(-2x^2+6000x)=0

We get rid of parentheses

2x^2-6000x=0

a = 2; b = -6000; c = 0;
Δ = b2-4ac
Δ = -60002-4·2·0
Δ = 36000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36000000}=6000$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6000)-6000}{2*2}=\frac{0}{4}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6000)+6000}{2*2}=\frac{12000}{4}
=3000
$