-56p-32p^2-24=0

Solution for -56p-32p^2-24=0 equation:

Simplifying
-56p + -32p2 + -24 = 0

Reorder the terms:
-24 + -56p + -32p2 = 0

Solving
-24 + -56p + -32p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '-8'.
-8(3 + 7p + 4p2) = 0

Factor a trinomial.
-8((1 + p)(3 + 4p)) = 0

Ignore the factor -8.
Subproblem 1
Set the factor '(1 + p)' equal to zero and attempt to solve:

Simplifying
1 + p = 0

Solving
1 + p = 0

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

Add '-1' to each side of the equation.
1 + -1 + p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + p = 0 + -1
p = 0 + -1

Combine like terms: 0 + -1 = -1
p = -1

Simplifying
p = -1
Subproblem 2
Set the factor '(3 + 4p)' equal to zero and attempt to solve:

Simplifying
3 + 4p = 0

Solving
3 + 4p = 0

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

Add '-3' to each side of the equation.
3 + -3 + 4p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4p = 0 + -3
4p = 0 + -3

Combine like terms: 0 + -3 = -3
4p = -3

Divide each side by '4'.
p = -0.75

Simplifying
p = -0.75
Solution
p = {-1, -0.75}