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

Solution for 0=-1x^2-2x+530 equation:

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

We move all terms to the left:

0-(-1x^2-2x+530)=0

We add all the numbers together, and all the variables

-(-1x^2-2x+530)=0

We get rid of parentheses

1x^2+2x-530=0

We add all the numbers together, and all the variables

x^2+2x-530=0

a = 1; b = 2; c = -530;
Δ = b2-4ac
Δ = 22-4·1·(-530)
Δ = 2124
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:

$\sqrt{\Delta}=\sqrt{2124}=\sqrt{36*59}=\sqrt{36}*\sqrt{59}=6\sqrt{59}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-6\sqrt{59}}{2*1}=\frac{-2-6\sqrt{59}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+6\sqrt{59}}{2*1}=\frac{-2+6\sqrt{59}}{2}
$