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Simplifying 8w2 + -128w = 0 Reorder the terms: -128w + 8w2 = 0 Solving -128w + 8w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '8w'. 8w(-16 + w) = 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 '(-16 + w)' equal to zero and attempt to solve: Simplifying -16 + w = 0 Solving -16 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + w = 0 + 16 Combine like terms: -16 + 16 = 0 0 + w = 0 + 16 w = 0 + 16 Combine like terms: 0 + 16 = 16 w = 16 Simplifying w = 16Solution
w = {0, 16}
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