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Simplifying (w + 9)(w + 9) = 0 Reorder the terms: (9 + w)(w + 9) = 0 Reorder the terms: (9 + w)(9 + w) = 0 Multiply (9 + w) * (9 + w) (9(9 + w) + w(9 + w)) = 0 ((9 * 9 + w * 9) + w(9 + w)) = 0 ((81 + 9w) + w(9 + w)) = 0 (81 + 9w + (9 * w + w * w)) = 0 (81 + 9w + (9w + w2)) = 0 Combine like terms: 9w + 9w = 18w (81 + 18w + w2) = 0 Solving 81 + 18w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (9 + w)(9 + w) = 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 '(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 = -9Solution
w = {-9, -9}
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