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Simplifying 480 = (w + 4) * w Reorder the terms: 480 = (4 + w) * w Reorder the terms for easier multiplication: 480 = w(4 + w) 480 = (4 * w + w * w) 480 = (4w + w2) Solving 480 = 4w + w2 Solving for variable 'w'. Reorder the terms: 480 + -4w + -1w2 = 4w + -4w + w2 + -1w2 Combine like terms: 4w + -4w = 0 480 + -4w + -1w2 = 0 + w2 + -1w2 480 + -4w + -1w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 480 + -4w + -1w2 = 0 Factor a trinomial. (20 + -1w)(24 + w) = 0Subproblem 1
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 = 20Subproblem 2
Set the factor '(24 + w)' equal to zero and attempt to solve: Simplifying 24 + w = 0 Solving 24 + w = 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 + w = 0 + -24 Combine like terms: 24 + -24 = 0 0 + w = 0 + -24 w = 0 + -24 Combine like terms: 0 + -24 = -24 w = -24 Simplifying w = -24Solution
w = {20, -24}
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