9p^2-5=6p

Solution for 9p^2-5=6p equation:

9p^2-5=6p

We move all terms to the left:

9p^2-5-(6p)=0

a = 9; b = -6; c = -5;
Δ = b2-4ac
Δ = -62-4·9·(-5)
Δ = 216
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{216}=\sqrt{36*6}=\sqrt{36}*\sqrt{6}=6\sqrt{6}$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-6\sqrt{6}}{2*9}=\frac{6-6\sqrt{6}}{18}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+6\sqrt{6}}{2*9}=\frac{6+6\sqrt{6}}{18}
$