p^2+8p=-7

Solution for p^2+8p=-7 equation:

Simplifying
p2 + 8p = -7

Reorder the terms:
8p + p2 = -7

Solving
8p + p2 = -7

Solving for variable 'p'.

Reorder the terms:
7 + 8p + p2 = -7 + 7

Combine like terms: -7 + 7 = 0
7 + 8p + p2 = 0

Factor a trinomial.
(7 + p)(1 + p) = 0

Subproblem 1
Set the factor '(7 + p)' equal to zero and attempt to solve:

Simplifying
7 + p = 0

Solving
7 + p = 0

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

Add '-7' to each side of the equation.
7 + -7 + p = 0 + -7

Combine like terms: 7 + -7 = 0
0 + p = 0 + -7
p = 0 + -7

Combine like terms: 0 + -7 = -7
p = -7

Simplifying
p = -7
Subproblem 2
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
Solution
p = {-7, -1}