(w+8)(w+1)=0

Solution for (w+8)(w+1)=0 equation:

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

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

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

Multiply (8 + w) * (1 + w)
(8(1 + w) + w(1 + w)) = 0
((1 * 8 + w * 8) + w(1 + w)) = 0
((8 + 8w) + w(1 + w)) = 0
(8 + 8w + (1 * w + w * w)) = 0
(8 + 8w + (1w + w2)) = 0

Combine like terms: 8w + 1w = 9w
(8 + 9w + w2) = 0

Solving
8 + 9w + w2 = 0

Solving for variable 'w'.

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

Subproblem 1
Set the factor '(8 + w)' equal to zero and attempt to solve:

Simplifying
8 + w = 0

Solving
8 + w = 0

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

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

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

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

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

Simplifying
1 + w = 0

Solving
1 + w = 0

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

Add '-1' to each side of the equation.
1 + -1 + w = 0 + -1

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

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

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