5p^2-54=3p

Solution for 5p^2-54=3p equation:

5p^2-54=3p

We move all terms to the left:

5p^2-54-(3p)=0

a = 5; b = -3; c = -54;
Δ = b2-4ac
Δ = -32-4·5·(-54)
Δ = 1089
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1089}=33$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-33}{2*5}=\frac{-30}{10}
=-3
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+33}{2*5}=\frac{36}{10}
=3+3/5
$