2p^2+360p-8000=0

Solution for 2p^2+360p-8000=0 equation:

2p^2+360p-8000=0

a = 2; b = 360; c = -8000;
Δ = b2-4ac
Δ = 3602-4·2·(-8000)
Δ = 193600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{193600}=440$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(360)-440}{2*2}=\frac{-800}{4}
=-200
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(360)+440}{2*2}=\frac{80}{4}
=20
$