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Simplifying 4w2 + 7w2 + 9w = 0 Reorder the terms: 9w + 4w2 + 7w2 = 0 Combine like terms: 4w2 + 7w2 = 11w2 9w + 11w2 = 0 Solving 9w + 11w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(9 + 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 '(9 + 11w)' equal to zero and attempt to solve: Simplifying 9 + 11w = 0 Solving 9 + 11w = 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 + 11w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 11w = 0 + -9 11w = 0 + -9 Combine like terms: 0 + -9 = -9 11w = -9 Divide each side by '11'. w = -0.8181818182 Simplifying w = -0.8181818182Solution
w = {0, -0.8181818182}
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