3(w+5)(-w-3)=0

Solution for 3(w+5)(-w-3)=0 equation:

Simplifying
3(w + 5)(-1w + -3) = 0

Reorder the terms:
3(5 + w)(-1w + -3) = 0

Reorder the terms:
3(5 + w)(-3 + -1w) = 0

Multiply (5 + w) * (-3 + -1w)
3(5(-3 + -1w) + w(-3 + -1w)) = 0
3((-3 * 5 + -1w * 5) + w(-3 + -1w)) = 0
3((-15 + -5w) + w(-3 + -1w)) = 0
3(-15 + -5w + (-3 * w + -1w * w)) = 0
3(-15 + -5w + (-3w + -1w2)) = 0

Combine like terms: -5w + -3w = -8w
3(-15 + -8w + -1w2) = 0
(-15 * 3 + -8w * 3 + -1w2 * 3) = 0
(-45 + -24w + -3w2) = 0

Solving
-45 + -24w + -3w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '-3'.
-3(15 + 8w + w2) = 0

Factor a trinomial.
-3((5 + w)(3 + w)) = 0

Ignore the factor -3.
Subproblem 1
Set the factor '(5 + w)' equal to zero and attempt to solve:

Simplifying
5 + w = 0

Solving
5 + w = 0

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

Add '-5' to each side of the equation.
5 + -5 + w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + w = 0 + -5
w = 0 + -5

Combine like terms: 0 + -5 = -5
w = -5

Simplifying
w = -5
Subproblem 2
Set the factor '(3 + w)' equal to zero and attempt to solve:

Simplifying
3 + w = 0

Solving
3 + w = 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 + w = 0 + -3

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

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

Simplifying
w = -3
Solution
w = {-5, -3}