-x^2-12x-30=2

Solution for -x^2-12x-30=2 equation:

-x^2-12x-30=2

We move all terms to the left:

-x^2-12x-30-(2)=0

We add all the numbers together, and all the variables

-1x^2-12x-32=0

a = -1; b = -12; c = -32;
Δ = b2-4ac
Δ = -122-4·(-1)·(-32)
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-4}{2*-1}=\frac{8}{-2}
=-4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+4}{2*-1}=\frac{16}{-2}
=-8
$