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Simplifying 1600 = w(60 + w) 1600 = (60 * w + w * w) 1600 = (60w + w2) Solving 1600 = 60w + w2 Solving for variable 'w'. Reorder the terms: 1600 + -60w + -1w2 = 60w + -60w + w2 + -1w2 Combine like terms: 60w + -60w = 0 1600 + -60w + -1w2 = 0 + w2 + -1w2 1600 + -60w + -1w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 1600 + -60w + -1w2 = 0 Factor a trinomial. (20 + -1w)(80 + 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 '(80 + w)' equal to zero and attempt to solve: Simplifying 80 + w = 0 Solving 80 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + w = 0 + -80 Combine like terms: 80 + -80 = 0 0 + w = 0 + -80 w = 0 + -80 Combine like terms: 0 + -80 = -80 w = -80 Simplifying w = -80Solution
w = {20, -80}
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