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Simplifying w2 + 12w + 81 = 0 Reorder the terms: 81 + 12w + w2 = 0 Solving 81 + 12w + w2 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '-81' to each side of the equation. 81 + 12w + -81 + w2 = 0 + -81 Reorder the terms: 81 + -81 + 12w + w2 = 0 + -81 Combine like terms: 81 + -81 = 0 0 + 12w + w2 = 0 + -81 12w + w2 = 0 + -81 Combine like terms: 0 + -81 = -81 12w + w2 = -81 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 = -81 + 36 Reorder the terms: 36 + 12w + w2 = -81 + 36 Combine like terms: -81 + 36 = -45 36 + 12w + w2 = -45 Factor a perfect square on the left side: (w + 6)(w + 6) = -45 Can't calculate square root of the right side. The solution to this equation could not be determined.
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