2p^2+24=-16p

Solution for 2p^2+24=-16p equation:

Simplifying
2p2 + 24 = -16p

Reorder the terms:
24 + 2p2 = -16p

Solving
24 + 2p2 = -16p

Solving for variable 'p'.

Reorder the terms:
24 + 16p + 2p2 = -16p + 16p

Combine like terms: -16p + 16p = 0
24 + 16p + 2p2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + 8p + p2) = 0

Factor a trinomial.
2((6 + p)(2 + p)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(6 + p)' equal to zero and attempt to solve:

Simplifying
6 + p = 0

Solving
6 + p = 0

Move all terms containing p to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + p = 0 + -6

Combine like terms: 6 + -6 = 0
0 + p = 0 + -6
p = 0 + -6

Combine like terms: 0 + -6 = -6
p = -6

Simplifying
p = -6
Subproblem 2
Set the factor '(2 + p)' equal to zero and attempt to solve:

Simplifying
2 + p = 0

Solving
2 + p = 0

Move all terms containing p to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + p = 0 + -2
p = 0 + -2

Combine like terms: 0 + -2 = -2
p = -2

Simplifying
p = -2
Solution
p = {-6, -2}