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Simplifying 3w2 + 81w = 0 Reorder the terms: 81w + 3w2 = 0 Solving 81w + 3w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '3w'. 3w(27 + 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 '(27 + w)' equal to zero and attempt to solve: Simplifying 27 + w = 0 Solving 27 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + w = 0 + -27 Combine like terms: 27 + -27 = 0 0 + w = 0 + -27 w = 0 + -27 Combine like terms: 0 + -27 = -27 w = -27 Simplifying w = -27Solution
w = {0, -27}
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