-30=11x+x^2

Solution for -30=11x+x^2 equation:

-30=11x+x^2

We move all terms to the left:

-30-(11x+x^2)=0

We get rid of parentheses

-x^2-11x-30=0

We add all the numbers together, and all the variables

-1x^2-11x-30=0

a = -1; b = -11; c = -30;
Δ = b2-4ac
Δ = -112-4·(-1)·(-30)
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-1}{2*-1}=\frac{10}{-2}
=-5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+1}{2*-1}=\frac{12}{-2}
=-6
$