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Simplifying w(w + 4) = 480 Reorder the terms: w(4 + w) = 480 (4 * w + w * w) = 480 (4w + w2) = 480 Solving 4w + w2 = 480 Solving for variable 'w'. Reorder the terms: -480 + 4w + w2 = 480 + -480 Combine like terms: 480 + -480 = 0 -480 + 4w + w2 = 0 Factor a trinomial. (-24 + -1w)(20 + -1w) = 0Subproblem 1
Set the factor '(-24 + -1w)' equal to zero and attempt to solve: Simplifying -24 + -1w = 0 Solving -24 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -1w = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -1w = 0 + 24 -1w = 0 + 24 Combine like terms: 0 + 24 = 24 -1w = 24 Divide each side by '-1'. w = -24 Simplifying w = -24Subproblem 2
Set the factor '(20 + -1w)' equal to zero and attempt to solve: Simplifying 20 + -1w = 0 Solving 20 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1w = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1w = 0 + -20 -1w = 0 + -20 Combine like terms: 0 + -20 = -20 -1w = -20 Divide each side by '-1'. w = 20 Simplifying w = 20Solution
w = {-24, 20}
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