9p(p-6)=0

Solution for 9p(p-6)=0 equation:

9p(p-6)=0

We multiply parentheses

9p^2-54p=0

a = 9; b = -54; c = 0;
Δ = b2-4ac
Δ = -542-4·9·0
Δ = 2916
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2916}=54$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-54)-54}{2*9}=\frac{0}{18}
=0
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-54)+54}{2*9}=\frac{108}{18}
=6
$