(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 = -7p
(-8 + -7p + p2) = 0

Solving
-8 + -7p + p2 = 0

Solving for variable 'p'.

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

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

Simplifying
-1 + -1p = 0

Solving
-1 + -1p = 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 + -1p = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1p = 0 + 1
-1p = 0 + 1

Combine like terms: 0 + 1 = 1
-1p = 1

Divide each side by '-1'.
p = -1

Simplifying
p = -1
Subproblem 2
Set the factor '(8 + -1p)' equal to zero and attempt to solve:

Simplifying
8 + -1p = 0

Solving
8 + -1p = 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 + -1p = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1p = 0 + -8
-1p = 0 + -8

Combine like terms: 0 + -8 = -8
-1p = -8

Divide each side by '-1'.
p = 8

Simplifying
p = 8
Solution
p = {-1, 8}