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Simplifying 5w(-8w + 16) = 0 Reorder the terms: 5w(16 + -8w) = 0 (16 * 5w + -8w * 5w) = 0 (80w + -40w2) = 0 Solving 80w + -40w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '40w'. 40w(2 + -1w) = 0 Ignore the factor 40.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 '(2 + -1w)' equal to zero and attempt to solve: Simplifying 2 + -1w = 0 Solving 2 + -1w = 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 + -1w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1w = 0 + -2 -1w = 0 + -2 Combine like terms: 0 + -2 = -2 -1w = -2 Divide each side by '-1'. w = 2 Simplifying w = 2Solution
w = {0, 2}
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