0=12x^2-60x-168

Solution for 0=12x^2-60x-168 equation:

0=12x^2-60x-168

We move all terms to the left:

0-(12x^2-60x-168)=0

We add all the numbers together, and all the variables

-(12x^2-60x-168)=0

We get rid of parentheses

-12x^2+60x+168=0

a = -12; b = 60; c = +168;
Δ = b2-4ac
Δ = 602-4·(-12)·168
Δ = 11664
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11664}=108$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-108}{2*-12}=\frac{-168}{-24}
=+7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+108}{2*-12}=\frac{48}{-24}
=-2
$