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Simplifying 80w2 + -85w = 0 Reorder the terms: -85w + 80w2 = 0 Solving -85w + 80w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '5w'. 5w(-17 + 16w) = 0 Ignore the factor 5.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 '(-17 + 16w)' equal to zero and attempt to solve: Simplifying -17 + 16w = 0 Solving -17 + 16w = 0 Move all terms containing w to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 16w = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 16w = 0 + 17 16w = 0 + 17 Combine like terms: 0 + 17 = 17 16w = 17 Divide each side by '16'. w = 1.0625 Simplifying w = 1.0625Solution
w = {0, 1.0625}
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