5p^2-p=18

Solution for 5p^2-p=18 equation:

5p^2-p=18

We move all terms to the left:

5p^2-p-(18)=0

We add all the numbers together, and all the variables

5p^2-1p-18=0

a = 5; b = -1; c = -18;
Δ = b2-4ac
Δ = -12-4·5·(-18)
Δ = 361
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{361}=19$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-19}{2*5}=\frac{-18}{10}
=-1+4/5
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+19}{2*5}=\frac{20}{10}
=2
$