(w-8)(w+3)=

Solution for (w-8)(w+3)= equation:

Simplifying
(w + -8)(w + 3) = 0

Reorder the terms:
(-8 + w)(w + 3) = 0

Reorder the terms:
(-8 + w)(3 + w) = 0

Multiply (-8 + w) * (3 + w)
(-8(3 + w) + w(3 + w)) = 0
((3 * -8 + w * -8) + w(3 + w)) = 0
((-24 + -8w) + w(3 + w)) = 0
(-24 + -8w + (3 * w + w * w)) = 0
(-24 + -8w + (3w + w2)) = 0

Combine like terms: -8w + 3w = -5w
(-24 + -5w + w2) = 0

Solving
-24 + -5w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-3 + -1w)(8 + -1w) = 0

Subproblem 1
Set the factor '(-3 + -1w)' equal to zero and attempt to solve:

Simplifying
-3 + -1w = 0

Solving
-3 + -1w = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1w = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1w = 0 + 3
-1w = 0 + 3

Combine like terms: 0 + 3 = 3
-1w = 3

Divide each side by '-1'.
w = -3

Simplifying
w = -3
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 = {-3, 8}