p^2+10p+4=-5

Solution for p^2+10p+4=-5 equation:

Simplifying
p2 + 10p + 4 = -5

Reorder the terms:
4 + 10p + p2 = -5

Solving
4 + 10p + p2 = -5

Solving for variable 'p'.

Reorder the terms:
4 + 5 + 10p + p2 = -5 + 5

Combine like terms: 4 + 5 = 9
9 + 10p + p2 = -5 + 5

Combine like terms: -5 + 5 = 0
9 + 10p + p2 = 0

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

Subproblem 1
Set the factor '(9 + p)' equal to zero and attempt to solve:

Simplifying
9 + p = 0

Solving
9 + p = 0

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

Add '-9' to each side of the equation.
9 + -9 + p = 0 + -9

Combine like terms: 9 + -9 = 0
0 + p = 0 + -9
p = 0 + -9

Combine like terms: 0 + -9 = -9
p = -9

Simplifying
p = -9
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 = {-9, -1}