0=-425x^2+42500x-1011000

Solution for 0=-425x^2+42500x-1011000 equation:

0=-425x^2+42500x-1011000

We move all terms to the left:

0-(-425x^2+42500x-1011000)=0

We add all the numbers together, and all the variables

-(-425x^2+42500x-1011000)=0

We get rid of parentheses

425x^2-42500x+1011000=0

a = 425; b = -42500; c = +1011000;
Δ = b2-4ac
Δ = -425002-4·425·1011000
Δ = 87550000
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:

$\sqrt{\Delta}=\sqrt{87550000}=\sqrt{10000*8755}=\sqrt{10000}*\sqrt{8755}=100\sqrt{8755}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-42500)-100\sqrt{8755}}{2*425}=\frac{42500-100\sqrt{8755}}{850}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-42500)+100\sqrt{8755}}{2*425}=\frac{42500+100\sqrt{8755}}{850}
$