(w+4)(w+8)=0

Solution for (w+4)(w+8)=0 equation:

Simplifying
(w + 4)(w + 8) = 0

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

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

Multiply (4 + w) * (8 + w)
(4(8 + w) + w(8 + w)) = 0
((8 * 4 + w * 4) + w(8 + w)) = 0
((32 + 4w) + w(8 + w)) = 0
(32 + 4w + (8 * w + w * w)) = 0
(32 + 4w + (8w + w2)) = 0

Combine like terms: 4w + 8w = 12w
(32 + 12w + w2) = 0

Solving
32 + 12w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(8 + w)(4 + 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 '(4 + w)' equal to zero and attempt to solve:

Simplifying
4 + w = 0

Solving
4 + w = 0

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

Add '-4' to each side of the equation.
4 + -4 + w = 0 + -4

Combine like terms: 4 + -4 = 0
0 + w = 0 + -4
w = 0 + -4

Combine like terms: 0 + -4 = -4
w = -4

Simplifying
w = -4
Solution
w = {-8, -4}