(2w+4)(w)(18-w)=

Solution for (2w+4)(w)(18-w)= equation:

Simplifying
(2w + 4)(w)(18 + -1w) = 0

Reorder the terms:
(4 + 2w)(w)(18 + -1w) = 0

Reorder the terms for easier multiplication:
w(4 + 2w)(18 + -1w) = 0

Multiply (4 + 2w) * (18 + -1w)
w(4(18 + -1w) + 2w * (18 + -1w)) = 0
w((18 * 4 + -1w * 4) + 2w * (18 + -1w)) = 0
w((72 + -4w) + 2w * (18 + -1w)) = 0
w(72 + -4w + (18 * 2w + -1w * 2w)) = 0
w(72 + -4w + (36w + -2w2)) = 0

Combine like terms: -4w + 36w = 32w
w(72 + 32w + -2w2) = 0
(72 * w + 32w * w + -2w2 * w) = 0
(72w + 32w2 + -2w3) = 0

Solving
72w + 32w2 + -2w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2w'.
2w(36 + 16w + -1w2) = 0

Factor a trinomial.
2w((18 + -1w)(2 + w)) = 0

Ignore the factor 2.
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 '(18 + -1w)' equal to zero and attempt to solve:

Simplifying
18 + -1w = 0

Solving
18 + -1w = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1w = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1w = 0 + -18
-1w = 0 + -18

Combine like terms: 0 + -18 = -18
-1w = -18

Divide each side by '-1'.
w = 18

Simplifying
w = 18
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, 18, -2}