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Simplifying w2 = 12w Solving w2 = 12w Solving for variable 'w'. Reorder the terms: -12w + w2 = 12w + -12w Combine like terms: 12w + -12w = 0 -12w + w2 = 0 Factor out the Greatest Common Factor (GCF), 'w'. w(-12 + 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 '(-12 + w)' equal to zero and attempt to solve: Simplifying -12 + w = 0 Solving -12 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + w = 0 + 12 Combine like terms: -12 + 12 = 0 0 + w = 0 + 12 w = 0 + 12 Combine like terms: 0 + 12 = 12 w = 12 Simplifying w = 12Solution
w = {0, 12}
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