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Simplifying 81w3 + -16w = 0 Reorder the terms: -16w + 81w3 = 0 Solving -16w + 81w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(-16 + 81w2) = 0 Factor a difference between two squares. w((4 + 9w)(-4 + 9w)) = 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 '(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 = -0.4444444444Subproblem 3
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, 0.4444444444}
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