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Simplifying 9w(w + 18) = 0 Reorder the terms: 9w(18 + w) = 0 (18 * 9w + w * 9w) = 0 (162w + 9w2) = 0 Solving 162w + 9w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '9w'. 9w(18 + w) = 0 Ignore the factor 9.Subproblem 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 '(18 + w)' equal to zero and attempt to solve: Simplifying 18 + w = 0 Solving 18 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + w = 0 + -18 Combine like terms: 18 + -18 = 0 0 + w = 0 + -18 w = 0 + -18 Combine like terms: 0 + -18 = -18 w = -18 Simplifying w = -18Solution
w = {0, -18}
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