6p^2=2p+60

Solution for 6p^2=2p+60 equation:

6p^2=2p+60

We move all terms to the left:

6p^2-(2p+60)=0

We get rid of parentheses

6p^2-2p-60=0

a = 6; b = -2; c = -60;
Δ = b2-4ac
Δ = -22-4·6·(-60)
Δ = 1444
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1444}=38$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-38}{2*6}=\frac{-36}{12}
=-3
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+38}{2*6}=\frac{40}{12}
=3+1/3
$