1=-x^2-870x+56000

Solution for 1=-x^2-870x+56000 equation:

1=-x^2-870x+56000

We move all terms to the left:

1-(-x^2-870x+56000)=0

We get rid of parentheses

x^2+870x-56000+1=0

We add all the numbers together, and all the variables

x^2+870x-55999=0

a = 1; b = 870; c = -55999;
Δ = b2-4ac
Δ = 8702-4·1·(-55999)
Δ = 980896
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:

$\sqrt{\Delta}=\sqrt{980896}=\sqrt{16*61306}=\sqrt{16}*\sqrt{61306}=4\sqrt{61306}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(870)-4\sqrt{61306}}{2*1}=\frac{-870-4\sqrt{61306}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(870)+4\sqrt{61306}}{2*1}=\frac{-870+4\sqrt{61306}}{2}
$