0=x^2+30x-216

Solution for 0=x^2+30x-216 equation:

0=x^2+30x-216

We move all terms to the left:

0-(x^2+30x-216)=0

We add all the numbers together, and all the variables

-(x^2+30x-216)=0

We get rid of parentheses

-x^2-30x+216=0

We add all the numbers together, and all the variables

-1x^2-30x+216=0

a = -1; b = -30; c = +216;
Δ = b2-4ac
Δ = -302-4·(-1)·216
Δ = 1764
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1764}=42$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-42}{2*-1}=\frac{-12}{-2}
=+6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+42}{2*-1}=\frac{72}{-2}
=-36
$