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

Solution for -3(w-1)(-w-5)= 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 + w2) = 0

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

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

Simplifying
-5 + -1w = 0

Solving
-5 + -1w = 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 + -1w = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1w = 0 + 5
-1w = 0 + 5

Combine like terms: 0 + 5 = 5
-1w = 5

Divide each side by '-1'.
w = -5

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