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Simplifying 3w2 = -27w Solving 3w2 = -27w Solving for variable 'w'. Reorder the terms: 27w + 3w2 = -27w + 27w Combine like terms: -27w + 27w = 0 27w + 3w2 = 0 Factor out the Greatest Common Factor (GCF), '3w'. 3w(9 + w) = 0 Ignore the factor 3.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 '(9 + w)' equal to zero and attempt to solve: Simplifying 9 + w = 0 Solving 9 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + w = 0 + -9 w = 0 + -9 Combine like terms: 0 + -9 = -9 w = -9 Simplifying w = -9Solution
w = {0, -9}
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