8p(p+3)=0

Solution for 8p(p+3)=0 equation:

8p(p+3)=0

We multiply parentheses

8p^2+24p=0

a = 8; b = 24; c = 0;
Δ = b2-4ac
Δ = 242-4·8·0
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-24}{2*8}=\frac{-48}{16}
=-3
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+24}{2*8}=\frac{0}{16}
=0
$