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Simplifying 4w(11w + 7) = 0 Reorder the terms: 4w(7 + 11w) = 0 (7 * 4w + 11w * 4w) = 0 (28w + 44w2) = 0 Solving 28w + 44w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '4w'. 4w(7 + 11w) = 0 Ignore the factor 4.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 '(7 + 11w)' equal to zero and attempt to solve: Simplifying 7 + 11w = 0 Solving 7 + 11w = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 11w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 11w = 0 + -7 11w = 0 + -7 Combine like terms: 0 + -7 = -7 11w = -7 Divide each side by '11'. w = -0.6363636364 Simplifying w = -0.6363636364Solution
w = {0, -0.6363636364}
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