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Simplifying w2 + 8w = w(24) Reorder the terms: 8w + w2 = w(24) Reorder the terms for easier multiplication: 8w + w2 = 24w Solving 8w + w2 = 24w Solving for variable 'w'. Reorder the terms: 8w + -24w + w2 = 24w + -24w Combine like terms: 8w + -24w = -16w -16w + w2 = 24w + -24w Combine like terms: 24w + -24w = 0 -16w + w2 = 0 Factor out the Greatest Common Factor (GCF), 'w'. w(-16 + w) = 0Subproblem 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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