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Simplifying (w + 2)(w + 8) = 0 Reorder the terms: (2 + w)(w + 8) = 0 Reorder the terms: (2 + w)(8 + w) = 0 Multiply (2 + w) * (8 + w) (2(8 + w) + w(8 + w)) = 0 ((8 * 2 + w * 2) + w(8 + w)) = 0 ((16 + 2w) + w(8 + w)) = 0 (16 + 2w + (8 * w + w * w)) = 0 (16 + 2w + (8w + w2)) = 0 Combine like terms: 2w + 8w = 10w (16 + 10w + w2) = 0 Solving 16 + 10w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (8 + w)(2 + 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 '(2 + w)' equal to zero and attempt to solve: Simplifying 2 + w = 0 Solving 2 + w = 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 + w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + w = 0 + -2 w = 0 + -2 Combine like terms: 0 + -2 = -2 w = -2 Simplifying w = -2Solution
w = {-8, -2}
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