8p^2+80p+192=0

Solution for 8p^2+80p+192=0 equation:

Simplifying
8p2 + 80p + 192 = 0

Reorder the terms:
192 + 80p + 8p2 = 0

Solving
192 + 80p + 8p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '8'.
8(24 + 10p + p2) = 0

Factor a trinomial.
8((6 + p)(4 + p)) = 0

Ignore the factor 8.
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 '(4 + p)' equal to zero and attempt to solve:

Simplifying
4 + p = 0

Solving
4 + p = 0

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

Add '-4' to each side of the equation.
4 + -4 + p = 0 + -4

Combine like terms: 4 + -4 = 0
0 + p = 0 + -4
p = 0 + -4

Combine like terms: 0 + -4 = -4
p = -4

Simplifying
p = -4
Solution
p = {-6, -4}