0=25x^2-1000x-1000

Solution for 0=25x^2-1000x-1000 equation:

0=25x^2-1000x-1000

We move all terms to the left:

0-(25x^2-1000x-1000)=0

We add all the numbers together, and all the variables

-(25x^2-1000x-1000)=0

We get rid of parentheses

-25x^2+1000x+1000=0

a = -25; b = 1000; c = +1000;
Δ = b2-4ac
Δ = 10002-4·(-25)·1000
Δ = 1100000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1100000}=\sqrt{10000*110}=\sqrt{10000}*\sqrt{110}=100\sqrt{110}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1000)-100\sqrt{110}}{2*-25}=\frac{-1000-100\sqrt{110}}{-50}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1000)+100\sqrt{110}}{2*-25}=\frac{-1000+100\sqrt{110}}{-50}
$