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Simplifying (w + 2)(w + 11) = -18 Reorder the terms: (2 + w)(w + 11) = -18 Reorder the terms: (2 + w)(11 + w) = -18 Multiply (2 + w) * (11 + w) (2(11 + w) + w(11 + w)) = -18 ((11 * 2 + w * 2) + w(11 + w)) = -18 ((22 + 2w) + w(11 + w)) = -18 (22 + 2w + (11 * w + w * w)) = -18 (22 + 2w + (11w + w2)) = -18 Combine like terms: 2w + 11w = 13w (22 + 13w + w2) = -18 Solving 22 + 13w + w2 = -18 Solving for variable 'w'. Reorder the terms: 22 + 18 + 13w + w2 = -18 + 18 Combine like terms: 22 + 18 = 40 40 + 13w + w2 = -18 + 18 Combine like terms: -18 + 18 = 0 40 + 13w + w2 = 0 Factor a trinomial. (8 + w)(5 + w) = 0Subproblem 1
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 = -8Subproblem 2
Set the factor '(5 + w)' equal to zero and attempt to solve: Simplifying 5 + w = 0 Solving 5 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + w = 0 + -5 w = 0 + -5 Combine like terms: 0 + -5 = -5 w = -5 Simplifying w = -5Solution
w = {-8, -5}
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