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Simplifying (w + 4)(2w + 4) = 0 Reorder the terms: (4 + w)(2w + 4) = 0 Reorder the terms: (4 + w)(4 + 2w) = 0 Multiply (4 + w) * (4 + 2w) (4(4 + 2w) + w(4 + 2w)) = 0 ((4 * 4 + 2w * 4) + w(4 + 2w)) = 0 ((16 + 8w) + w(4 + 2w)) = 0 (16 + 8w + (4 * w + 2w * w)) = 0 (16 + 8w + (4w + 2w2)) = 0 Combine like terms: 8w + 4w = 12w (16 + 12w + 2w2) = 0 Solving 16 + 12w + 2w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2'. 2(8 + 6w + w2) = 0 Factor a trinomial. 2((4 + w)(2 + 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 '(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 = -2Solution
w = {-4, -2}
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