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Simplifying w2 + -4w = 480 Reorder the terms: -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. (-20 + -1w)(24 + -1w) = 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 + -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 = 24Solution
w = {-20, 24}
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