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Simplifying 11w2 + 39w = 0 Reorder the terms: 39w + 11w2 = 0 Solving 39w + 11w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(39 + 11w) = 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 '(39 + 11w)' equal to zero and attempt to solve: Simplifying 39 + 11w = 0 Solving 39 + 11w = 0 Move all terms containing w to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 11w = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 11w = 0 + -39 11w = 0 + -39 Combine like terms: 0 + -39 = -39 11w = -39 Divide each side by '11'. w = -3.545454545 Simplifying w = -3.545454545Solution
w = {0, -3.545454545}
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