0=x^2+33x-266

Solution for 0=x^2+33x-266 equation:

0=x^2+33x-266

We move all terms to the left:

0-(x^2+33x-266)=0

We add all the numbers together, and all the variables

-(x^2+33x-266)=0

We get rid of parentheses

-x^2-33x+266=0

We add all the numbers together, and all the variables

-1x^2-33x+266=0

a = -1; b = -33; c = +266;
Δ = b2-4ac
Δ = -332-4·(-1)·266
Δ = 2153
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-33)-\sqrt{2153}}{2*-1}=\frac{33-\sqrt{2153}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-33)+\sqrt{2153}}{2*-1}=\frac{33+\sqrt{2153}}{-2}
$