-x^2-37x-320=0

Solution for -x^2-37x-320=0 equation:

-x^2-37x-320=0

We add all the numbers together, and all the variables

-1x^2-37x-320=0

a = -1; b = -37; c = -320;
Δ = b2-4ac
Δ = -372-4·(-1)·(-320)
Δ = 89
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-37)-\sqrt{89}}{2*-1}=\frac{37-\sqrt{89}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-37)+\sqrt{89}}{2*-1}=\frac{37+\sqrt{89}}{-2}
$