(w+4)(w+2)=0

Solution for (w+4)(w+2)=0 equation:

Simplifying
(w + 4)(w + 2) = 0

Reorder the terms:
(4 + w)(w + 2) = 0

Reorder the terms:
(4 + w)(2 + w) = 0

Multiply (4 + w) * (2 + w)
(4(2 + w) + w(2 + w)) = 0
((2 * 4 + w * 4) + w(2 + w)) = 0
((8 + 4w) + w(2 + w)) = 0
(8 + 4w + (2 * w + w * w)) = 0
(8 + 4w + (2w + w2)) = 0

Combine like terms: 4w + 2w = 6w
(8 + 6w + w2) = 0

Solving
8 + 6w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(4 + w)(2 + w) = 0

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

Simplifying
2 + w = 0

Solving
2 + w = 0

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

Add '-2' to each side of the equation.
2 + -2 + w = 0 + -2

Combine like terms: 2 + -2 = 0
0 + w = 0 + -2
w = 0 + -2

Combine like terms: 0 + -2 = -2
w = -2

Simplifying
w = -2
Solution
w = {-4, -2}