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Simplifying (W + 2)(W + 2) = 169 Reorder the terms: (2 + W)(W + 2) = 169 Reorder the terms: (2 + W)(2 + W) = 169 Multiply (2 + W) * (2 + W) (2(2 + W) + W(2 + W)) = 169 ((2 * 2 + W * 2) + W(2 + W)) = 169 ((4 + 2W) + W(2 + W)) = 169 (4 + 2W + (2 * W + W * W)) = 169 (4 + 2W + (2W + W2)) = 169 Combine like terms: 2W + 2W = 4W (4 + 4W + W2) = 169 Solving 4 + 4W + W2 = 169 Solving for variable 'W'. Reorder the terms: 4 + -169 + 4W + W2 = 169 + -169 Combine like terms: 4 + -169 = -165 -165 + 4W + W2 = 169 + -169 Combine like terms: 169 + -169 = 0 -165 + 4W + W2 = 0 Factor a trinomial. (-15 + -1W)(11 + -1W) = 0Subproblem 1
Set the factor '(-15 + -1W)' equal to zero and attempt to solve: Simplifying -15 + -1W = 0 Solving -15 + -1W = 0 Move all terms containing W to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1W = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1W = 0 + 15 -1W = 0 + 15 Combine like terms: 0 + 15 = 15 -1W = 15 Divide each side by '-1'. W = -15 Simplifying W = -15Subproblem 2
Set the factor '(11 + -1W)' equal to zero and attempt to solve: Simplifying 11 + -1W = 0 Solving 11 + -1W = 0 Move all terms containing W to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1W = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1W = 0 + -11 -1W = 0 + -11 Combine like terms: 0 + -11 = -11 -1W = -11 Divide each side by '-1'. W = 11 Simplifying W = 11Solution
W = {-15, 11}
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