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Simplifying w2 + 35w = 0 Reorder the terms: 35w + w2 = 0 Solving 35w + w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(35 + 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 '(35 + w)' equal to zero and attempt to solve: Simplifying 35 + w = 0 Solving 35 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + w = 0 + -35 Combine like terms: 35 + -35 = 0 0 + w = 0 + -35 w = 0 + -35 Combine like terms: 0 + -35 = -35 w = -35 Simplifying w = -35Solution
w = {0, -35}
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