6p^2-24=8p

Solution for 6p^2-24=8p equation:

6p^2-24=8p

We move all terms to the left:

6p^2-24-(8p)=0

a = 6; b = -8; c = -24;
Δ = b2-4ac
Δ = -82-4·6·(-24)
Δ = 640
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{640}=\sqrt{64*10}=\sqrt{64}*\sqrt{10}=8\sqrt{10}$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-8\sqrt{10}}{2*6}=\frac{8-8\sqrt{10}}{12}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+8\sqrt{10}}{2*6}=\frac{8+8\sqrt{10}}{12}
$