p(p+17)=-60

Solution for p(p+17)=-60 equation:

Simplifying
p(p + 17) = -60

Reorder the terms:
p(17 + p) = -60
(17 * p + p * p) = -60
(17p + p2) = -60

Solving
17p + p2 = -60

Solving for variable 'p'.

Reorder the terms:
60 + 17p + p2 = -60 + 60

Combine like terms: -60 + 60 = 0
60 + 17p + p2 = 0

Factor a trinomial.
(12 + p)(5 + p) = 0

Subproblem 1
Set the factor '(12 + p)' equal to zero and attempt to solve:

Simplifying
12 + p = 0

Solving
12 + p = 0

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

Add '-12' to each side of the equation.
12 + -12 + p = 0 + -12

Combine like terms: 12 + -12 = 0
0 + p = 0 + -12
p = 0 + -12

Combine like terms: 0 + -12 = -12
p = -12

Simplifying
p = -12
Subproblem 2
Set the factor '(5 + p)' equal to zero and attempt to solve:

Simplifying
5 + p = 0

Solving
5 + p = 0

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

Add '-5' to each side of the equation.
5 + -5 + p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + p = 0 + -5
p = 0 + -5

Combine like terms: 0 + -5 = -5
p = -5

Simplifying
p = -5
Solution
p = {-12, -5}