-x^2+530x-15000=0

Solution for -x^2+530x-15000=0 equation:

-x^2+530x-15000=0

We add all the numbers together, and all the variables

-1x^2+530x-15000=0

a = -1; b = 530; c = -15000;
Δ = b2-4ac
Δ = 5302-4·(-1)·(-15000)
Δ = 220900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{220900}=470$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(530)-470}{2*-1}=\frac{-1000}{-2}
=+500
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(530)+470}{2*-1}=\frac{-60}{-2}
=+30
$