(w+2)(w-4)=

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

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

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

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

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

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

Solving
-8 + -2w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-2 + -1w)(4 + -1w) = 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 + -1w)' equal to zero and attempt to solve:

Simplifying
4 + -1w = 0

Solving
4 + -1w = 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 + -1w = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1w = 0 + -4
-1w = 0 + -4

Combine like terms: 0 + -4 = -4
-1w = -4

Divide each side by '-1'.
w = 4

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