p^2=-7p-6

Solution for p^2=-7p-6 equation:

Simplifying
p2 = -7p + -6

Reorder the terms:
p2 = -6 + -7p

Solving
p2 = -6 + -7p

Solving for variable 'p'.

Reorder the terms:
6 + 7p + p2 = -6 + -7p + 6 + 7p

Reorder the terms:
6 + 7p + p2 = -6 + 6 + -7p + 7p

Combine like terms: -6 + 6 = 0
6 + 7p + p2 = 0 + -7p + 7p
6 + 7p + p2 = -7p + 7p

Combine like terms: -7p + 7p = 0
6 + 7p + p2 = 0

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

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 '(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 = {-6, -1}