-16x-60=x^2

Solution for -16x-60=x^2 equation:

-16x-60=x^2

We move all terms to the left:

-16x-60-(x^2)=0

determiningTheFunctionDomain
-x^2-16x-60=0

We add all the numbers together, and all the variables

-1x^2-16x-60=0

a = -1; b = -16; c = -60;
Δ = b2-4ac
Δ = -162-4·(-1)·(-60)
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{-(-16)-4}{2*-1}=\frac{12}{-2}
=-6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+4}{2*-1}=\frac{20}{-2}
=-10
$