P^3-2p^2-25p-50=0

Solution for P^3-2p^2-25p-50=0 equation:

^3-2P^2-25P-50=0

We add all the numbers together, and all the variables

-2P^2-25P=0

a = -2; b = -25; c = 0;
Δ = b2-4ac
Δ = -252-4·(-2)·0
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$P_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$P_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{625}=25$
$P_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-25)-25}{2*-2}=\frac{0}{-4}
=0
$
$P_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+25}{2*-2}=\frac{50}{-4}
=-12+1/2
$