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Simplifying (W + 5)(W + 5) + 80 = 0 Reorder the terms: (5 + W)(W + 5) + 80 = 0 Reorder the terms: (5 + W)(5 + W) + 80 = 0 Multiply (5 + W) * (5 + W) (5(5 + W) + W(5 + W)) + 80 = 0 ((5 * 5 + W * 5) + W(5 + W)) + 80 = 0 ((25 + 5W) + W(5 + W)) + 80 = 0 (25 + 5W + (5 * W + W * W)) + 80 = 0 (25 + 5W + (5W + W2)) + 80 = 0 Combine like terms: 5W + 5W = 10W (25 + 10W + W2) + 80 = 0 Reorder the terms: 25 + 80 + 10W + W2 = 0 Combine like terms: 25 + 80 = 105 105 + 10W + W2 = 0 Solving 105 + 10W + W2 = 0 Solving for variable 'W'. Begin completing the square. Move the constant term to the right: Add '-105' to each side of the equation. 105 + 10W + -105 + W2 = 0 + -105 Reorder the terms: 105 + -105 + 10W + W2 = 0 + -105 Combine like terms: 105 + -105 = 0 0 + 10W + W2 = 0 + -105 10W + W2 = 0 + -105 Combine like terms: 0 + -105 = -105 10W + W2 = -105 The W term is 10W. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10W + 25 + W2 = -105 + 25 Reorder the terms: 25 + 10W + W2 = -105 + 25 Combine like terms: -105 + 25 = -80 25 + 10W + W2 = -80 Factor a perfect square on the left side: (W + 5)(W + 5) = -80 Can't calculate square root of the right side. The solution to this equation could not be determined.
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