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Simplifying w2 + 24w + 128 = 0 Reorder the terms: 128 + 24w + w2 = 0 Solving 128 + 24w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (16 + w)(8 + w) = 0Subproblem 1
Set the factor '(16 + w)' equal to zero and attempt to solve: Simplifying 16 + w = 0 Solving 16 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + w = 0 + -16 Combine like terms: 16 + -16 = 0 0 + w = 0 + -16 w = 0 + -16 Combine like terms: 0 + -16 = -16 w = -16 Simplifying w = -16Subproblem 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 = {-16, -8}
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