50p(30-p)=0

Solution for 50p(30-p)=0 equation:

50p(30-p)=0

We add all the numbers together, and all the variables

50p(-1p+30)=0

We multiply parentheses

-50p^2+1500p=0

a = -50; b = 1500; c = 0;
Δ = b2-4ac
Δ = 15002-4·(-50)·0
Δ = 2250000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2250000}=1500$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1500)-1500}{2*-50}=\frac{-3000}{-100}
=+30
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1500)+1500}{2*-50}=\frac{0}{-100}
=0
$