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Simplifying W2 + -2W + -8 = 55 Reorder the terms: -8 + -2W + W2 = 55 Solving -8 + -2W + W2 = 55 Solving for variable 'W'. Reorder the terms: -8 + -55 + -2W + W2 = 55 + -55 Combine like terms: -8 + -55 = -63 -63 + -2W + W2 = 55 + -55 Combine like terms: 55 + -55 = 0 -63 + -2W + W2 = 0 Factor a trinomial. (-7 + -1W)(9 + -1W) = 0Subproblem 1
Set the factor '(-7 + -1W)' equal to zero and attempt to solve: Simplifying -7 + -1W = 0 Solving -7 + -1W = 0 Move all terms containing W to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1W = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1W = 0 + 7 -1W = 0 + 7 Combine like terms: 0 + 7 = 7 -1W = 7 Divide each side by '-1'. W = -7 Simplifying W = -7Subproblem 2
Set the factor '(9 + -1W)' equal to zero and attempt to solve: Simplifying 9 + -1W = 0 Solving 9 + -1W = 0 Move all terms containing W to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1W = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1W = 0 + -9 -1W = 0 + -9 Combine like terms: 0 + -9 = -9 -1W = -9 Divide each side by '-1'. W = 9 Simplifying W = 9Solution
W = {-7, 9}
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