600=12x^2+2x-2

Solution for 600=12x^2+2x-2 equation:

600=12x^2+2x-2

We move all terms to the left:

600-(12x^2+2x-2)=0

We get rid of parentheses

-12x^2-2x+2+600=0

We add all the numbers together, and all the variables

-12x^2-2x+602=0

a = -12; b = -2; c = +602;
Δ = b2-4ac
Δ = -22-4·(-12)·602
Δ = 28900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{28900}=170$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-170}{2*-12}=\frac{-168}{-24}
=+7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+170}{2*-12}=\frac{172}{-24}
=-7+1/6
$