x2+40x+384=0

Solution for x2+40x+384=0 equation:

x2+40x+384=0

We add all the numbers together, and all the variables

x^2+40x+384=0

a = 1; b = 40; c = +384;
Δ = b2-4ac
Δ = 402-4·1·384
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(40)-8}{2*1}=\frac{-48}{2}
=-24
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(40)+8}{2*1}=\frac{-32}{2}
=-16
$