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Simplifying -2w(w + 8) = 0 Reorder the terms: -2w(8 + w) = 0 (8 * -2w + w * -2w) = 0 (-16w + -2w2) = 0 Solving -16w + -2w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '-2w'. -2w(8 + 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 = 0Subproblem 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 = -8Solution
w = {0, -8}
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