-3w(w+8)(w+2)=0

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Solution for -3w(w+8)(w+2)=0 equation: 


Simplifying
-3w(w + 8)(w + 2) = 0

Reorder the terms:
-3w(8 + w)(w + 2) = 0

Reorder the terms:
-3w(8 + w)(2 + w) = 0

Multiply (8 + w) * (2 + w)
-3w(8(2 + w) + w(2 + w)) = 0
-3w((2 * 8 + w * 8) + w(2 + w)) = 0
-3w((16 + 8w) + w(2 + w)) = 0
-3w(16 + 8w + (2 * w + w * w)) = 0
-3w(16 + 8w + (2w + w2)) = 0

Combine like terms: 8w + 2w = 10w
-3w(16 + 10w + w2) = 0
(16 * -3w + 10w * -3w + w2 * -3w) = 0
(-48w + -30w2 + -3w3) = 0

Solving
-48w + -30w2 + -3w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '-3w'.
-3w(16 + 10w + w2) = 0

Factor a trinomial.
-3w((8 + w)(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 '(8 + w)' equal to zero and attempt to solve:

Simplifying
8 + w = 0

Solving
8 + w = 0

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

Add '-8' to each side of the equation.
8 + -8 + w = 0 + -8

Combine like terms: 8 + -8 = 0
0 + w = 0 + -8
w = 0 + -8

Combine like terms: 0 + -8 = -8
w = -8

Simplifying
w = -8

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, -8, -2}

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