0=12x^2-12x-144

Solution for 0=12x^2-12x-144 equation:

0=12x^2-12x-144

We move all terms to the left:

0-(12x^2-12x-144)=0

We add all the numbers together, and all the variables

-(12x^2-12x-144)=0

We get rid of parentheses

-12x^2+12x+144=0

a = -12; b = 12; c = +144;
Δ = b2-4ac
Δ = 122-4·(-12)·144
Δ = 7056
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7056}=84$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-84}{2*-12}=\frac{-96}{-24}
=+4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+84}{2*-12}=\frac{72}{-24}
=-3
$