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Simplifying 6w(11w + 5) = 0 Reorder the terms: 6w(5 + 11w) = 0 (5 * 6w + 11w * 6w) = 0 (30w + 66w2) = 0 Solving 30w + 66w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '6w'. 6w(5 + 11w) = 0 Ignore the factor 6.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 '(5 + 11w)' equal to zero and attempt to solve: Simplifying 5 + 11w = 0 Solving 5 + 11w = 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 + 11w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 11w = 0 + -5 11w = 0 + -5 Combine like terms: 0 + -5 = -5 11w = -5 Divide each side by '11'. w = -0.4545454545 Simplifying w = -0.4545454545Solution
w = {0, -0.4545454545}
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