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Simplifying (2w + 8)(w + 4) = 0 Reorder the terms: (8 + 2w)(w + 4) = 0 Reorder the terms: (8 + 2w)(4 + w) = 0 Multiply (8 + 2w) * (4 + w) (8(4 + w) + 2w * (4 + w)) = 0 ((4 * 8 + w * 8) + 2w * (4 + w)) = 0 ((32 + 8w) + 2w * (4 + w)) = 0 (32 + 8w + (4 * 2w + w * 2w)) = 0 (32 + 8w + (8w + 2w2)) = 0 Combine like terms: 8w + 8w = 16w (32 + 16w + 2w2) = 0 Solving 32 + 16w + 2w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2'. 2(16 + 8w + w2) = 0 Factor a trinomial. 2((4 + w)(4 + w)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + w)' equal to zero and attempt to solve: Simplifying 4 + w = 0 Solving 4 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + w = 0 + -4 w = 0 + -4 Combine like terms: 0 + -4 = -4 w = -4 Simplifying w = -4Subproblem 2
Set the factor '(4 + w)' equal to zero and attempt to solve: Simplifying 4 + w = 0 Solving 4 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + w = 0 + -4 w = 0 + -4 Combine like terms: 0 + -4 = -4 w = -4 Simplifying w = -4Solution
w = {-4, -4}
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