0=x^2-12000x+20000000

Solution for 0=x^2-12000x+20000000 equation:

0=x^2-12000x+20000000

We move all terms to the left:

0-(x^2-12000x+20000000)=0

We add all the numbers together, and all the variables

-(x^2-12000x+20000000)=0

We get rid of parentheses

-x^2+12000x-20000000=0

We add all the numbers together, and all the variables

-1x^2+12000x-20000000=0

a = -1; b = 12000; c = -20000000;
Δ = b2-4ac
Δ = 120002-4·(-1)·(-20000000)
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{-(12000)-8000}{2*-1}=\frac{-20000}{-2}
=+10000
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12000)+8000}{2*-1}=\frac{-4000}{-2}
=+2000
$