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Simplifying W2 + 8W + -308 = 0 Reorder the terms: -308 + 8W + W2 = 0 Solving -308 + 8W + W2 = 0 Solving for variable 'W'. Factor a trinomial. (-22 + -1W)(14 + -1W) = 0Subproblem 1
Set the factor '(-22 + -1W)' equal to zero and attempt to solve: Simplifying -22 + -1W = 0 Solving -22 + -1W = 0 Move all terms containing W to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -1W = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -1W = 0 + 22 -1W = 0 + 22 Combine like terms: 0 + 22 = 22 -1W = 22 Divide each side by '-1'. W = -22 Simplifying W = -22Subproblem 2
Set the factor '(14 + -1W)' equal to zero and attempt to solve: Simplifying 14 + -1W = 0 Solving 14 + -1W = 0 Move all terms containing W to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1W = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1W = 0 + -14 -1W = 0 + -14 Combine like terms: 0 + -14 = -14 -1W = -14 Divide each side by '-1'. W = 14 Simplifying W = 14Solution
W = {-22, 14}
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