=(w+4)(w-2)

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

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

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

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

Multiply (4 + w) * (-2 + w)
0 = (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))

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

Solving
0 = -8 + 2w + w2

Solving for variable 'w'.

Combine like terms: 0 + 8 = 8
8 + -2w + -1w2 = -8 + 2w + w2 + 8 + -2w + -1w2

Reorder the terms:
8 + -2w + -1w2 = -8 + 8 + 2w + -2w + w2 + -1w2

Combine like terms: -8 + 8 = 0
8 + -2w + -1w2 = 0 + 2w + -2w + w2 + -1w2
8 + -2w + -1w2 = 2w + -2w + w2 + -1w2

Combine like terms: 2w + -2w = 0
8 + -2w + -1w2 = 0 + w2 + -1w2
8 + -2w + -1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
8 + -2w + -1w2 = 0

Factor a trinomial.
(2 + -1w)(4 + w) = 0

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

Simplifying
2 + -1w = 0

Solving
2 + -1w = 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 + -1w = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1w = 0 + -2
-1w = 0 + -2

Combine like terms: 0 + -2 = -2
-1w = -2

Divide each side by '-1'.
w = 2

Simplifying
w = 2
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 = {2, -4}