(w+3)(w+8)=0

Solution for (w+3)(w+8)=0 equation:

Simplifying
(w + 3)(w + 8) = 0

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

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

Multiply (3 + w) * (8 + w)
(3(8 + w) + w(8 + w)) = 0
((8 * 3 + w * 3) + w(8 + w)) = 0
((24 + 3w) + w(8 + w)) = 0
(24 + 3w + (8 * w + w * w)) = 0
(24 + 3w + (8w + w2)) = 0

Combine like terms: 3w + 8w = 11w
(24 + 11w + w2) = 0

Solving
24 + 11w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(8 + w)(3 + 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 '(3 + w)' equal to zero and attempt to solve:

Simplifying
3 + w = 0

Solving
3 + w = 0

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

Add '-3' to each side of the equation.
3 + -3 + w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + w = 0 + -3
w = 0 + -3

Combine like terms: 0 + -3 = -3
w = -3

Simplifying
w = -3
Solution
w = {-8, -3}