X=3x^2-800x-20000

Solution for X=3x^2-800x-20000 equation:

X=3X^2-800X-20000

We move all terms to the left:

X-(3X^2-800X-20000)=0

We get rid of parentheses

-3X^2+X+800X+20000=0

We add all the numbers together, and all the variables

-3X^2+801X+20000=0

a = -3; b = 801; c = +20000;
Δ = b2-4ac
Δ = 8012-4·(-3)·20000
Δ = 881601
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(801)-\sqrt{881601}}{2*-3}=\frac{-801-\sqrt{881601}}{-6}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(801)+\sqrt{881601}}{2*-3}=\frac{-801+\sqrt{881601}}{-6}
$