p(p+11)=-10

Solution for p(p+11)=-10 equation:

Simplifying
p(p + 11) = -10

Reorder the terms:
p(11 + p) = -10
(11 * p + p * p) = -10
(11p + p2) = -10

Solving
11p + p2 = -10

Solving for variable 'p'.

Reorder the terms:
10 + 11p + p2 = -10 + 10

Combine like terms: -10 + 10 = 0
10 + 11p + p2 = 0

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

Subproblem 1
Set the factor '(10 + p)' equal to zero and attempt to solve:

Simplifying
10 + p = 0

Solving
10 + p = 0

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

Add '-10' to each side of the equation.
10 + -10 + p = 0 + -10

Combine like terms: 10 + -10 = 0
0 + p = 0 + -10
p = 0 + -10

Combine like terms: 0 + -10 = -10
p = -10

Simplifying
p = -10
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 = {-10, -1}