-2-2x=6x(2x+2)

Solution for -2-2x=6x(2x+2) equation:

-2-2x=6x(2x+2)

We move all terms to the left:

-2-2x-(6x(2x+2))=0


We calculate terms in parentheses: -(6x(2x+2)), so:

6x(2x+2)

We multiply parentheses

12x^2+12x

Back to the equation:

-(12x^2+12x)


We get rid of parentheses

-12x^2-2x-12x-2=0

We add all the numbers together, and all the variables

-12x^2-14x-2=0

a = -12; b = -14; c = -2;
Δ = b2-4ac
Δ = -142-4·(-12)·(-2)
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-10}{2*-12}=\frac{4}{-24}
=-1/6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+10}{2*-12}=\frac{24}{-24}
=-1
$