-3w(w+2)(w-3)=0

Solution for -3w(w+2)(w-3)=0 equation:

Simplifying
-3w(w + 2)(w + -3) = 0

Reorder the terms:
-3w(2 + w)(w + -3) = 0

Reorder the terms:
-3w(2 + w)(-3 + w) = 0

Multiply (2 + w) * (-3 + w)
-3w(2(-3 + w) + w(-3 + w)) = 0
-3w((-3 * 2 + w * 2) + w(-3 + w)) = 0
-3w((-6 + 2w) + w(-3 + w)) = 0
-3w(-6 + 2w + (-3 * w + w * w)) = 0
-3w(-6 + 2w + (-3w + w2)) = 0

Combine like terms: 2w + -3w = -1w
-3w(-6 + -1w + w2) = 0
(-6 * -3w + -1w * -3w + w2 * -3w) = 0
(18w + 3w2 + -3w3) = 0

Solving
18w + 3w2 + -3w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '3w'.
3w(6 + w + -1w2) = 0

Factor a trinomial.
3w((3 + -1w)(2 + 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 '(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 3
Set the factor '(2 + w)' equal to zero and attempt to solve:

Simplifying
2 + w = 0

Solving
2 + w = 0

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

Add '-2' to each side of the equation.
2 + -2 + w = 0 + -2

Combine like terms: 2 + -2 = 0
0 + w = 0 + -2
w = 0 + -2

Combine like terms: 0 + -2 = -2
w = -2

Simplifying
w = -2
Solution
w = {0, 3, -2}