(4w)(w+8)=0

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Solution for (4w)(w+8)=0 equation: 


Simplifying
(4w)(w + 8) = 0

Remove parenthesis around (4w)
4w(w + 8) = 0

Reorder the terms:
4w(8 + w) = 0
(8 * 4w + w * 4w) = 0
(32w + 4w2) = 0

Solving
32w + 4w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '4w'.
4w(8 + w) = 0

Ignore the factor 4.

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
Solution
w = {0, -8}

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