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Simplifying w2 + 8w + 16 = 144 Reorder the terms: 16 + 8w + w2 = 144 Solving 16 + 8w + w2 = 144 Solving for variable 'w'. Reorder the terms: 16 + -144 + 8w + w2 = 144 + -144 Combine like terms: 16 + -144 = -128 -128 + 8w + w2 = 144 + -144 Combine like terms: 144 + -144 = 0 -128 + 8w + w2 = 0 Factor a trinomial. (-16 + -1w)(8 + -1w) = 0Subproblem 1
Set the factor '(-16 + -1w)' equal to zero and attempt to solve: Simplifying -16 + -1w = 0 Solving -16 + -1w = 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 + -1w = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1w = 0 + 16 -1w = 0 + 16 Combine like terms: 0 + 16 = 16 -1w = 16 Divide each side by '-1'. w = -16 Simplifying w = -16Subproblem 2
Set the factor '(8 + -1w)' equal to zero and attempt to solve: Simplifying 8 + -1w = 0 Solving 8 + -1w = 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 + -1w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1w = 0 + -8 -1w = 0 + -8 Combine like terms: 0 + -8 = -8 -1w = -8 Divide each side by '-1'. w = 8 Simplifying w = 8Solution
w = {-16, 8}
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