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Simplifying 16w(w + -30) = 0 Reorder the terms: 16w(-30 + w) = 0 (-30 * 16w + w * 16w) = 0 (-480w + 16w2) = 0 Solving -480w + 16w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '16w'. 16w(-30 + w) = 0 Ignore the factor 16.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 '(-30 + w)' equal to zero and attempt to solve: Simplifying -30 + w = 0 Solving -30 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + w = 0 + 30 Combine like terms: -30 + 30 = 0 0 + w = 0 + 30 w = 0 + 30 Combine like terms: 0 + 30 = 30 w = 30 Simplifying w = 30Solution
w = {0, 30}
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