-2=-6x^2-120x

Solution for -2=-6x^2-120x equation:

-2=-6x^2-120x

We move all terms to the left:

-2-(-6x^2-120x)=0

We get rid of parentheses

6x^2+120x-2=0

a = 6; b = 120; c = -2;
Δ = b2-4ac
Δ = 1202-4·6·(-2)
Δ = 14448
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:

$\sqrt{\Delta}=\sqrt{14448}=\sqrt{16*903}=\sqrt{16}*\sqrt{903}=4\sqrt{903}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(120)-4\sqrt{903}}{2*6}=\frac{-120-4\sqrt{903}}{12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(120)+4\sqrt{903}}{2*6}=\frac{-120+4\sqrt{903}}{12}
$