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Simplifying w(w + 8) = 4080 Reorder the terms: w(8 + w) = 4080 (8 * w + w * w) = 4080 (8w + w2) = 4080 Solving 8w + w2 = 4080 Solving for variable 'w'. Reorder the terms: -4080 + 8w + w2 = 4080 + -4080 Combine like terms: 4080 + -4080 = 0 -4080 + 8w + w2 = 0 Factor a trinomial. (-68 + -1w)(60 + -1w) = 0Subproblem 1
Set the factor '(-68 + -1w)' equal to zero and attempt to solve: Simplifying -68 + -1w = 0 Solving -68 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '68' to each side of the equation. -68 + 68 + -1w = 0 + 68 Combine like terms: -68 + 68 = 0 0 + -1w = 0 + 68 -1w = 0 + 68 Combine like terms: 0 + 68 = 68 -1w = 68 Divide each side by '-1'. w = -68 Simplifying w = -68Subproblem 2
Set the factor '(60 + -1w)' equal to zero and attempt to solve: Simplifying 60 + -1w = 0 Solving 60 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -1w = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -1w = 0 + -60 -1w = 0 + -60 Combine like terms: 0 + -60 = -60 -1w = -60 Divide each side by '-1'. w = 60 Simplifying w = 60Solution
w = {-68, 60}
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