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Simplifying w2 + 30w = 0 Reorder the terms: 30w + w2 = 0 Solving 30w + w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(30 + 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 '(30 + w)' equal to zero and attempt to solve: Simplifying 30 + w = 0 Solving 30 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + w = 0 + -30 Combine like terms: 30 + -30 = 0 0 + w = 0 + -30 w = 0 + -30 Combine like terms: 0 + -30 = -30 w = -30 Simplifying w = -30Solution
w = {0, -30}
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