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Simplifying 16w2 + -40w = 0 Reorder the terms: -40w + 16w2 = 0 Solving -40w + 16w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '8w'. 8w(-5 + 2w) = 0 Ignore the factor 8.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 '(-5 + 2w)' equal to zero and attempt to solve: Simplifying -5 + 2w = 0 Solving -5 + 2w = 0 Move all terms containing w to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2w = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2w = 0 + 5 2w = 0 + 5 Combine like terms: 0 + 5 = 5 2w = 5 Divide each side by '2'. w = 2.5 Simplifying w = 2.5Solution
w = {0, 2.5}
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