(p+1)(p+8)=

Solution for (p+1)(p+8)= equation:

Simplifying
(p + 1)(p + 8) = 0

Reorder the terms:
(1 + p)(p + 8) = 0

Reorder the terms:
(1 + p)(8 + p) = 0

Multiply (1 + p) * (8 + p)
(1(8 + p) + p(8 + p)) = 0
((8 * 1 + p * 1) + p(8 + p)) = 0
((8 + 1p) + p(8 + p)) = 0
(8 + 1p + (8 * p + p * p)) = 0
(8 + 1p + (8p + p2)) = 0

Combine like terms: 1p + 8p = 9p
(8 + 9p + p2) = 0

Solving
8 + 9p + p2 = 0

Solving for variable 'p'.

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

Subproblem 1
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
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 = {-8, -1}