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Simplifying (9w + 11)(w + 9) = 0 Reorder the terms: (11 + 9w)(w + 9) = 0 Reorder the terms: (11 + 9w)(9 + w) = 0 Multiply (11 + 9w) * (9 + w) (11(9 + w) + 9w * (9 + w)) = 0 ((9 * 11 + w * 11) + 9w * (9 + w)) = 0 ((99 + 11w) + 9w * (9 + w)) = 0 (99 + 11w + (9 * 9w + w * 9w)) = 0 (99 + 11w + (81w + 9w2)) = 0 Combine like terms: 11w + 81w = 92w (99 + 92w + 9w2) = 0 Solving 99 + 92w + 9w2 = 0 Solving for variable 'w'. Factor a trinomial. (9 + w)(11 + 9w) = 0Subproblem 1
Set the factor '(9 + w)' equal to zero and attempt to solve: Simplifying 9 + w = 0 Solving 9 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + w = 0 + -9 w = 0 + -9 Combine like terms: 0 + -9 = -9 w = -9 Simplifying w = -9Subproblem 2
Set the factor '(11 + 9w)' equal to zero and attempt to solve: Simplifying 11 + 9w = 0 Solving 11 + 9w = 0 Move all terms containing w to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 9w = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 9w = 0 + -11 9w = 0 + -11 Combine like terms: 0 + -11 = -11 9w = -11 Divide each side by '9'. w = -1.222222222 Simplifying w = -1.222222222Solution
w = {-9, -1.222222222}
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