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

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

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

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

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

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

Combine like terms: 5w + -1w = 4w
-3w(-5 + 4w + w2) = 0
(-5 * -3w + 4w * -3w + w2 * -3w) = 0
(15w + -12w2 + -3w3) = 0

Solving
15w + -12w2 + -3w3 = 0

Solving for variable 'w'.

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

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

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

Simplifying
w = 0

Solving
w = 0

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

Simplifying
w = 0
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
Subproblem 3
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 = {0, 1, -5}