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Simplifying (w + 3) * w = 88 Reorder the terms: (3 + w) * w = 88 Reorder the terms for easier multiplication: w(3 + w) = 88 (3 * w + w * w) = 88 (3w + w2) = 88 Solving 3w + w2 = 88 Solving for variable 'w'. Reorder the terms: -88 + 3w + w2 = 88 + -88 Combine like terms: 88 + -88 = 0 -88 + 3w + w2 = 0 Factor a trinomial. (-11 + -1w)(8 + -1w) = 0Subproblem 1
Set the factor '(-11 + -1w)' equal to zero and attempt to solve: Simplifying -11 + -1w = 0 Solving -11 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1w = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1w = 0 + 11 -1w = 0 + 11 Combine like terms: 0 + 11 = 11 -1w = 11 Divide each side by '-1'. w = -11 Simplifying w = -11Subproblem 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 = {-11, 8}
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