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Simplifying (9w + 11)(w + 9) = 79 Reorder the terms: (11 + 9w)(w + 9) = 79 Reorder the terms: (11 + 9w)(9 + w) = 79 Multiply (11 + 9w) * (9 + w) (11(9 + w) + 9w * (9 + w)) = 79 ((9 * 11 + w * 11) + 9w * (9 + w)) = 79 ((99 + 11w) + 9w * (9 + w)) = 79 (99 + 11w + (9 * 9w + w * 9w)) = 79 (99 + 11w + (81w + 9w2)) = 79 Combine like terms: 11w + 81w = 92w (99 + 92w + 9w2) = 79 Solving 99 + 92w + 9w2 = 79 Solving for variable 'w'. Reorder the terms: 99 + -79 + 92w + 9w2 = 79 + -79 Combine like terms: 99 + -79 = 20 20 + 92w + 9w2 = 79 + -79 Combine like terms: 79 + -79 = 0 20 + 92w + 9w2 = 0 Factor a trinomial. (10 + w)(2 + 9w) = 0Subproblem 1
Set the factor '(10 + w)' equal to zero and attempt to solve: Simplifying 10 + w = 0 Solving 10 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + w = 0 + -10 Combine like terms: 10 + -10 = 0 0 + w = 0 + -10 w = 0 + -10 Combine like terms: 0 + -10 = -10 w = -10 Simplifying w = -10Subproblem 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 = {-10, -0.2222222222}
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