-p^2-6p-8=1

Solution for -p^2-6p-8=1 equation:

Simplifying
-1p2 + -6p + -8 = 1

Reorder the terms:
-8 + -6p + -1p2 = 1

Solving
-8 + -6p + -1p2 = 1

Solving for variable 'p'.

Reorder the terms:
-8 + -1 + -6p + -1p2 = 1 + -1

Combine like terms: -8 + -1 = -9
-9 + -6p + -1p2 = 1 + -1

Combine like terms: 1 + -1 = 0
-9 + -6p + -1p2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(9 + 6p + p2) = 0

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

Ignore the factor -1.
Subproblem 1
Set the factor '(3 + p)' equal to zero and attempt to solve:

Simplifying
3 + p = 0

Solving
3 + p = 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 + p = 0 + -3

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

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

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

Simplifying
3 + p = 0

Solving
3 + p = 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 + p = 0 + -3

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

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

Simplifying
p = -3
Solution
p = {-3, -3}