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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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