x2+8x-1584=0

Solution for x2+8x-1584=0 equation:

x2+8x-1584=0

We add all the numbers together, and all the variables

x^2+8x-1584=0

a = 1; b = 8; c = -1584;
Δ = b2-4ac
Δ = 82-4·1·(-1584)
Δ = 6400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6400}=80$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-80}{2*1}=\frac{-88}{2}
=-44
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+80}{2*1}=\frac{72}{2}
=36
$