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Simplifying 81w3 + -4w = 0 Reorder the terms: -4w + 81w3 = 0 Solving -4w + 81w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(-4 + 81w2) = 0 Factor a difference between two squares. w((2 + 9w)(-2 + 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 '(2 + 9w)' equal to zero and attempt to solve: Simplifying 2 + 9w = 0 Solving 2 + 9w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 9w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9w = 0 + -2 9w = 0 + -2 Combine like terms: 0 + -2 = -2 9w = -2 Divide each side by '9'. w = -0.2222222222 Simplifying w = -0.2222222222Subproblem 3
Set the factor '(-2 + 9w)' equal to zero and attempt to solve: Simplifying -2 + 9w = 0 Solving -2 + 9w = 0 Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 9w = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 9w = 0 + 2 9w = 0 + 2 Combine like terms: 0 + 2 = 2 9w = 2 Divide each side by '9'. w = 0.2222222222 Simplifying w = 0.2222222222Solution
w = {0, -0.2222222222, 0.2222222222}
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