(w+4)(w-8)=

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

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

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

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

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

Combine like terms: 4w + -8w = -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}