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Simplifying 81w2 + 36w + 4 = 0 Reorder the terms: 4 + 36w + 81w2 = 0 Solving 4 + 36w + 81w2 = 0 Solving for variable 'w'. Factor a trinomial. (2 + 9w)(2 + 9w) = 0Subproblem 1
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 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 = -0.2222222222Solution
w = {-0.2222222222, -0.2222222222}
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