-x^2-450x-20000=0

Solution for -x^2-450x-20000=0 equation:

-x^2-450x-20000=0

We add all the numbers together, and all the variables

-1x^2-450x-20000=0

a = -1; b = -450; c = -20000;
Δ = b2-4ac
Δ = -4502-4·(-1)·(-20000)
Δ = 122500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{122500}=350$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-450)-350}{2*-1}=\frac{100}{-2}
=-50
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-450)+350}{2*-1}=\frac{800}{-2}
=-400
$