0=12x^2-12x-24

Solution for 0=12x^2-12x-24 equation:

0=12x^2-12x-24

We move all terms to the left:

0-(12x^2-12x-24)=0

We add all the numbers together, and all the variables

-(12x^2-12x-24)=0

We get rid of parentheses

-12x^2+12x+24=0

a = -12; b = 12; c = +24;
Δ = b2-4ac
Δ = 122-4·(-12)·24
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-36}{2*-12}=\frac{-48}{-24}
=+2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+36}{2*-12}=\frac{24}{-24}
=-1
$