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Simplifying 81w2 + 144w + 64 = 0 Reorder the terms: 64 + 144w + 81w2 = 0 Solving 64 + 144w + 81w2 = 0 Solving for variable 'w'. Factor a trinomial. (8 + 9w)(8 + 9w) = 0Subproblem 1
Set the factor '(8 + 9w)' equal to zero and attempt to solve: Simplifying 8 + 9w = 0 Solving 8 + 9w = 0 Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 9w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 9w = 0 + -8 9w = 0 + -8 Combine like terms: 0 + -8 = -8 9w = -8 Divide each side by '9'. w = -0.8888888889 Simplifying w = -0.8888888889Subproblem 2
Set the factor '(8 + 9w)' equal to zero and attempt to solve: Simplifying 8 + 9w = 0 Solving 8 + 9w = 0 Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 9w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 9w = 0 + -8 9w = 0 + -8 Combine like terms: 0 + -8 = -8 9w = -8 Divide each side by '9'. w = -0.8888888889 Simplifying w = -0.8888888889Solution
w = {-0.8888888889, -0.8888888889}
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