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Simplifying (10 + -1W) * W = 24 Reorder the terms for easier multiplication: W(10 + -1W) = 24 (10 * W + -1W * W) = 24 (10W + -1W2) = 24 Solving 10W + -1W2 = 24 Solving for variable 'W'. Reorder the terms: -24 + 10W + -1W2 = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + 10W + -1W2 = 0 Factor a trinomial. (-6 + W)(4 + -1W) = 0Subproblem 1
Set the factor '(-6 + W)' equal to zero and attempt to solve: Simplifying -6 + W = 0 Solving -6 + W = 0 Move all terms containing W to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + W = 0 + 6 Combine like terms: -6 + 6 = 0 0 + W = 0 + 6 W = 0 + 6 Combine like terms: 0 + 6 = 6 W = 6 Simplifying W = 6Subproblem 2
Set the factor '(4 + -1W)' equal to zero and attempt to solve: Simplifying 4 + -1W = 0 Solving 4 + -1W = 0 Move all terms containing W to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1W = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1W = 0 + -4 -1W = 0 + -4 Combine like terms: 0 + -4 = -4 -1W = -4 Divide each side by '-1'. W = 4 Simplifying W = 4Solution
W = {6, 4}
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