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Simplifying w2 + 31w = 0 Reorder the terms: 31w + w2 = 0 Solving 31w + w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(31 + 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 '(31 + w)' equal to zero and attempt to solve: Simplifying 31 + w = 0 Solving 31 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + w = 0 + -31 Combine like terms: 31 + -31 = 0 0 + w = 0 + -31 w = 0 + -31 Combine like terms: 0 + -31 = -31 w = -31 Simplifying w = -31Solution
w = {0, -31}
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