p^2+35p+216=0

Solution for p^2+35p+216=0 equation:

Simplifying
p2 + 35p + 216 = 0

Reorder the terms:
216 + 35p + p2 = 0

Solving
216 + 35p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(27 + p)(8 + p) = 0

Subproblem 1
Set the factor '(27 + p)' equal to zero and attempt to solve:

Simplifying
27 + p = 0

Solving
27 + p = 0

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

Add '-27' to each side of the equation.
27 + -27 + p = 0 + -27

Combine like terms: 27 + -27 = 0
0 + p = 0 + -27
p = 0 + -27

Combine like terms: 0 + -27 = -27
p = -27

Simplifying
p = -27
Subproblem 2
Set the factor '(8 + p)' equal to zero and attempt to solve:

Simplifying
8 + p = 0

Solving
8 + p = 0

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

Add '-8' to each side of the equation.
8 + -8 + p = 0 + -8

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

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

Simplifying
p = -8
Solution
p = {-27, -8}