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Simplifying W(W + 6) = 720 Reorder the terms: W(6 + W) = 720 (6 * W + W * W) = 720 (6W + W2) = 720 Solving 6W + W2 = 720 Solving for variable 'W'. Reorder the terms: -720 + 6W + W2 = 720 + -720 Combine like terms: 720 + -720 = 0 -720 + 6W + W2 = 0 Factor a trinomial. (-30 + -1W)(24 + -1W) = 0Subproblem 1
Set the factor '(-30 + -1W)' equal to zero and attempt to solve: Simplifying -30 + -1W = 0 Solving -30 + -1W = 0 Move all terms containing W to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -1W = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -1W = 0 + 30 -1W = 0 + 30 Combine like terms: 0 + 30 = 30 -1W = 30 Divide each side by '-1'. W = -30 Simplifying W = -30Subproblem 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 = {-30, 24}
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