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Simplifying 240 = 3(W + 2) * W Reorder the terms: 240 = 3(2 + W) * W Reorder the terms for easier multiplication: 240 = 3W(2 + W) 240 = (2 * 3W + W * 3W) 240 = (6W + 3W2) Solving 240 = 6W + 3W2 Solving for variable 'W'. Reorder the terms: 240 + -6W + -3W2 = 6W + -6W + 3W2 + -3W2 Combine like terms: 6W + -6W = 0 240 + -6W + -3W2 = 0 + 3W2 + -3W2 240 + -6W + -3W2 = 3W2 + -3W2 Combine like terms: 3W2 + -3W2 = 0 240 + -6W + -3W2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(80 + -2W + -1W2) = 0 Factor a trinomial. 3((8 + -1W)(10 + W)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(8 + -1W)' equal to zero and attempt to solve: Simplifying 8 + -1W = 0 Solving 8 + -1W = 0 Move all terms containing W to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1W = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1W = 0 + -8 -1W = 0 + -8 Combine like terms: 0 + -8 = -8 -1W = -8 Divide each side by '-1'. W = 8 Simplifying W = 8Subproblem 2
Set the factor '(10 + W)' equal to zero and attempt to solve: Simplifying 10 + W = 0 Solving 10 + W = 0 Move all terms containing W to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + W = 0 + -10 Combine like terms: 10 + -10 = 0 0 + W = 0 + -10 W = 0 + -10 Combine like terms: 0 + -10 = -10 W = -10 Simplifying W = -10Solution
W = {8, -10}
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