15p^2+8p^2-60p=p

Solution for 15p^2+8p^2-60p=p equation:

15p^2+8p^2-60p=p

We move all terms to the left:

15p^2+8p^2-60p-(p)=0

We add all the numbers together, and all the variables

23p^2-61p=0

a = 23; b = -61; c = 0;
Δ = b2-4ac
Δ = -612-4·23·0
Δ = 3721
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3721}=61$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-61)-61}{2*23}=\frac{0}{46}
=0
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-61)+61}{2*23}=\frac{122}{46}
=2+15/23
$