11520=x^2+88x

Solution for 11520=x^2+88x equation:

11520=x^2+88x

We move all terms to the left:

11520-(x^2+88x)=0

We get rid of parentheses

-x^2-88x+11520=0

We add all the numbers together, and all the variables

-1x^2-88x+11520=0

a = -1; b = -88; c = +11520;
Δ = b2-4ac
Δ = -882-4·(-1)·11520
Δ = 53824
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{53824}=232$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-88)-232}{2*-1}=\frac{-144}{-2}
=+72
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-88)+232}{2*-1}=\frac{320}{-2}
=-160
$