(w-8)(w+4)=

Solution for (w-8)(w+4)= equation:

Simplifying
(w + -8)(w + 4) = 0

Reorder the terms:
(-8 + w)(w + 4) = 0

Reorder the terms:
(-8 + w)(4 + w) = 0

Multiply (-8 + w) * (4 + w)
(-8(4 + w) + w(4 + w)) = 0
((4 * -8 + w * -8) + w(4 + w)) = 0
((-32 + -8w) + w(4 + w)) = 0
(-32 + -8w + (4 * w + w * w)) = 0
(-32 + -8w + (4w + w2)) = 0

Combine like terms: -8w + 4w = -4w
(-32 + -4w + w2) = 0

Solving
-32 + -4w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-4 + -1w)(8 + -1w) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(8 + -1w)' equal to zero and attempt to solve:

Simplifying
8 + -1w = 0

Solving
8 + -1w = 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 + -1w = 0 + -8

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

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

Divide each side by '-1'.
w = 8

Simplifying
w = 8
Solution
w = {-4, 8}