p(9p+2)=0

Solution for p(9p+2)=0 equation:

p(9p+2)=0

We multiply parentheses

9p^2+2p=0

a = 9; b = 2; c = 0;
Δ = b2-4ac
Δ = 22-4·9·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2}{2*9}=\frac{-4}{18}
=-2/9
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2}{2*9}=\frac{0}{18}
=0
$