How to solve - 2p^2=16p+24

Add 2p² to each side of the equation. Then you have

2p² + 16p + 24 = 0.

Before you roll up your sleeves and start working on it, you can make it

even more convenient if you divide each side by 2. Then you have:

p² + 8p + 12 = 0.

Now you have a nice, comfortable, familiar-looking quadratic equation.

You can either factor the left side into (p + 6) (p + 2), or, if you can't find

the factors, you can apply the quadratic formula to it.

That's how to solve it, and find its two solutions.