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

Solution for 3(w+8)(-w+3)=0 equation:

Simplifying
3(w + 8)(-1w + 3) = 0

Reorder the terms:
3(8 + w)(-1w + 3) = 0

Reorder the terms:
3(8 + w)(3 + -1w) = 0

Multiply (8 + w) * (3 + -1w)
3(8(3 + -1w) + w(3 + -1w)) = 0
3((3 * 8 + -1w * 8) + w(3 + -1w)) = 0
3((24 + -8w) + w(3 + -1w)) = 0
3(24 + -8w + (3 * w + -1w * w)) = 0
3(24 + -8w + (3w + -1w2)) = 0

Combine like terms: -8w + 3w = -5w
3(24 + -5w + -1w2) = 0
(24 * 3 + -5w * 3 + -1w2 * 3) = 0
(72 + -15w + -3w2) = 0

Solving
72 + -15w + -3w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '3'.
3(24 + -5w + -1w2) = 0

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

Ignore the factor 3.
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 + w)' equal to zero and attempt to solve:

Simplifying
8 + w = 0

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

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

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

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