X2+24x-2160=0

Solution for X2+24x-2160=0 equation:

X2+24X-2160=0

We add all the numbers together, and all the variables

X^2+24X-2160=0

a = 1; b = 24; c = -2160;
Δ = b2-4ac
Δ = 242-4·1·(-2160)
Δ = 9216
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9216}=96$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-96}{2*1}=\frac{-120}{2}
=-60
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+96}{2*1}=\frac{72}{2}
=36
$