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

Solution for 3(w-1)(-w-5)=0 equation:

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

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

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

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

Combine like terms: 1w + -5w = -4w
3(5 + -4w + -1w2) = 0
(5 * 3 + -4w * 3 + -1w2 * 3) = 0
(15 + -12w + -3w2) = 0

Solving
15 + -12w + -3w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '3'.
3(5 + -4w + -1w2) = 0

Factor a trinomial.
3((1 + -1w)(5 + w)) = 0

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

Simplifying
1 + -1w = 0

Solving
1 + -1w = 0

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

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

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

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

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

Simplifying
w = 1
Subproblem 2
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
Solution
w = {1, -5}