10p(19-p)=0

Solution for 10p(19-p)=0 equation:

10p(19-p)=0

We add all the numbers together, and all the variables

10p(-1p+19)=0

We multiply parentheses

-10p^2+190p=0

a = -10; b = 190; c = 0;
Δ = b2-4ac
Δ = 1902-4·(-10)·0
Δ = 36100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36100}=190$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(190)-190}{2*-10}=\frac{-380}{-20}
=+19
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(190)+190}{2*-10}=\frac{0}{-20}
=0
$