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Simplifying w2 + 28w = 0 Reorder the terms: 28w + w2 = 0 Solving 28w + w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(28 + 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 '(28 + w)' equal to zero and attempt to solve: Simplifying 28 + w = 0 Solving 28 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + w = 0 + -28 Combine like terms: 28 + -28 = 0 0 + w = 0 + -28 w = 0 + -28 Combine like terms: 0 + -28 = -28 w = -28 Simplifying w = -28Solution
w = {0, -28}
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