(x+11)(132-x)=0

Solution for (x+11)(132-x)=0 equation:

(x+11)(132-x)=0

We add all the numbers together, and all the variables

(x+11)(-1x+132)=0

We multiply parentheses ..

(-1x^2+132x-11x+1452)=0

We get rid of parentheses

-1x^2+132x-11x+1452=0

We add all the numbers together, and all the variables

-1x^2+121x+1452=0

a = -1; b = 121; c = +1452;
Δ = b2-4ac
Δ = 1212-4·(-1)·1452
Δ = 20449
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{20449}=143$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(121)-143}{2*-1}=\frac{-264}{-2}
=+132
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(121)+143}{2*-1}=\frac{22}{-2}
=-11
$