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Simplifying w2 + 21w = 0 Reorder the terms: 21w + w2 = 0 Solving 21w + w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(21 + 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 '(21 + w)' equal to zero and attempt to solve: Simplifying 21 + w = 0 Solving 21 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + w = 0 + -21 Combine like terms: 21 + -21 = 0 0 + w = 0 + -21 w = 0 + -21 Combine like terms: 0 + -21 = -21 w = -21 Simplifying w = -21Solution
w = {0, -21}
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