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

Solution for (w+8)(w-3)=0 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.
(-8 + -1w)(3 + -1w) = 0

Subproblem 1
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
Subproblem 2
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
Solution
w = {-8, 3}