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Simplifying (12 + w)(w) = -44 Reorder the terms for easier multiplication: w(12 + w) = -44 (12 * w + w * w) = -44 (12w + w2) = -44 Solving 12w + w2 = -44 Solving for variable 'w'. Reorder the terms: 44 + 12w + w2 = -44 + 44 Combine like terms: -44 + 44 = 0 44 + 12w + w2 = 0 Begin completing the square. Move the constant term to the right: Add '-44' to each side of the equation. 44 + 12w + -44 + w2 = 0 + -44 Reorder the terms: 44 + -44 + 12w + w2 = 0 + -44 Combine like terms: 44 + -44 = 0 0 + 12w + w2 = 0 + -44 12w + w2 = 0 + -44 Combine like terms: 0 + -44 = -44 12w + w2 = -44 The w term is 12w. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12w + 36 + w2 = -44 + 36 Reorder the terms: 36 + 12w + w2 = -44 + 36 Combine like terms: -44 + 36 = -8 36 + 12w + w2 = -8 Factor a perfect square on the left side: (w + 6)(w + 6) = -8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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