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Simplifying (w + 9)(w + 8) = 0 Reorder the terms: (9 + w)(w + 8) = 0 Reorder the terms: (9 + w)(8 + w) = 0 Multiply (9 + w) * (8 + w) (9(8 + w) + w(8 + w)) = 0 ((8 * 9 + w * 9) + w(8 + w)) = 0 ((72 + 9w) + w(8 + w)) = 0 (72 + 9w + (8 * w + w * w)) = 0 (72 + 9w + (8w + w2)) = 0 Combine like terms: 9w + 8w = 17w (72 + 17w + w2) = 0 Solving 72 + 17w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (9 + w)(8 + 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 '(8 + w)' equal to zero and attempt to solve: Simplifying 8 + w = 0 Solving 8 + w = 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 + w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + w = 0 + -8 w = 0 + -8 Combine like terms: 0 + -8 = -8 w = -8 Simplifying w = -8Solution
w = {-9, -8}
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