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Simplifying W(41 + -1W) = 420 (41 * W + -1W * W) = 420 (41W + -1W2) = 420 Solving 41W + -1W2 = 420 Solving for variable 'W'. Reorder the terms: -420 + 41W + -1W2 = 420 + -420 Combine like terms: 420 + -420 = 0 -420 + 41W + -1W2 = 0 Factor a trinomial. (-21 + W)(20 + -1W) = 0Subproblem 1
Set the factor '(-21 + W)' equal to zero and attempt to solve: Simplifying -21 + W = 0 Solving -21 + W = 0 Move all terms containing W to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + W = 0 + 21 Combine like terms: -21 + 21 = 0 0 + W = 0 + 21 W = 0 + 21 Combine like terms: 0 + 21 = 21 W = 21 Simplifying W = 21Subproblem 2
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 = 20Solution
W = {21, 20}
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