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Simplifying 4w(9w + -4) = 0 Reorder the terms: 4w(-4 + 9w) = 0 (-4 * 4w + 9w * 4w) = 0 (-16w + 36w2) = 0 Solving -16w + 36w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '4w'. 4w(-4 + 9w) = 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 '(-4 + 9w)' equal to zero and attempt to solve: Simplifying -4 + 9w = 0 Solving -4 + 9w = 0 Move all terms containing w to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 9w = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 9w = 0 + 4 9w = 0 + 4 Combine like terms: 0 + 4 = 4 9w = 4 Divide each side by '9'. w = 0.4444444444 Simplifying w = 0.4444444444Solution
w = {0, 0.4444444444}
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