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Simplifying 2W2 + 8W + -42 + -1W2 + -7W + -140 = 0 Reorder the terms: -42 + -140 + 8W + -7W + 2W2 + -1W2 = 0 Combine like terms: -42 + -140 = -182 -182 + 8W + -7W + 2W2 + -1W2 = 0 Combine like terms: 8W + -7W = 1W -182 + 1W + 2W2 + -1W2 = 0 Combine like terms: 2W2 + -1W2 = 1W2 -182 + 1W + 1W2 = 0 Solving -182 + 1W + 1W2 = 0 Solving for variable 'W'. Factor a trinomial. (-14 + -1W)(13 + -1W) = 0Subproblem 1
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 = -14Subproblem 2
Set the factor '(13 + -1W)' equal to zero and attempt to solve: Simplifying 13 + -1W = 0 Solving 13 + -1W = 0 Move all terms containing W to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1W = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1W = 0 + -13 -1W = 0 + -13 Combine like terms: 0 + -13 = -13 -1W = -13 Divide each side by '-1'. W = 13 Simplifying W = 13Solution
W = {-14, 13}
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