0=x^2-6x-180

Solution for 0=x^2-6x-180 equation:

0=x^2-6x-180

We move all terms to the left:

0-(x^2-6x-180)=0

We add all the numbers together, and all the variables

-(x^2-6x-180)=0

We get rid of parentheses

-x^2+6x+180=0

We add all the numbers together, and all the variables

-1x^2+6x+180=0

a = -1; b = 6; c = +180;
Δ = b2-4ac
Δ = 62-4·(-1)·180
Δ = 756
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:

$\sqrt{\Delta}=\sqrt{756}=\sqrt{36*21}=\sqrt{36}*\sqrt{21}=6\sqrt{21}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-6\sqrt{21}}{2*-1}=\frac{-6-6\sqrt{21}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+6\sqrt{21}}{2*-1}=\frac{-6+6\sqrt{21}}{-2}
$