2p2-9=3p

Solution for 2p2-9=3p equation:

2p^2-9=3p

We move all terms to the left:

2p^2-9-(3p)=0

a = 2; b = -3; c = -9;
Δ = b2-4ac
Δ = -32-4·2·(-9)
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81}=9$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-9}{2*2}=\frac{-6}{4}
=-1+1/2
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+9}{2*2}=\frac{12}{4}
=3
$