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Simplifying 3w + 9w2 + 2w = 0 Reorder the terms: 3w + 2w + 9w2 = 0 Combine like terms: 3w + 2w = 5w 5w + 9w2 = 0 Solving 5w + 9w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(5 + 9w) = 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 '(5 + 9w)' equal to zero and attempt to solve: Simplifying 5 + 9w = 0 Solving 5 + 9w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 9w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9w = 0 + -5 9w = 0 + -5 Combine like terms: 0 + -5 = -5 9w = -5 Divide each side by '9'. w = -0.5555555556 Simplifying w = -0.5555555556Solution
w = {0, -0.5555555556}
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