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

Solution for 2(w+8)(w+3)=0 equation:

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

Reorder the terms:
2(8 + w)(w + 3) = 0

Reorder the terms:
2(8 + w)(3 + w) = 0

Multiply (8 + w) * (3 + w)
2(8(3 + w) + w(3 + w)) = 0
2((3 * 8 + w * 8) + w(3 + w)) = 0
2((24 + 8w) + w(3 + w)) = 0
2(24 + 8w + (3 * w + w * w)) = 0
2(24 + 8w + (3w + w2)) = 0

Combine like terms: 8w + 3w = 11w
2(24 + 11w + w2) = 0
(24 * 2 + 11w * 2 + w2 * 2) = 0
(48 + 22w + 2w2) = 0

Solving
48 + 22w + 2w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(24 + 11w + w2) = 0

Factor a trinomial.
2((8 + w)(3 + w)) = 0

Ignore the factor 2.
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}