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Simplifying w2 + 10w + 81 = 0 Reorder the terms: 81 + 10w + w2 = 0 Solving 81 + 10w + 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 + 10w + -81 + w2 = 0 + -81 Reorder the terms: 81 + -81 + 10w + w2 = 0 + -81 Combine like terms: 81 + -81 = 0 0 + 10w + w2 = 0 + -81 10w + w2 = 0 + -81 Combine like terms: 0 + -81 = -81 10w + w2 = -81 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 = -81 + 25 Reorder the terms: 25 + 10w + w2 = -81 + 25 Combine like terms: -81 + 25 = -56 25 + 10w + w2 = -56 Factor a perfect square on the left side: (w + 5)(w + 5) = -56 Can't calculate square root of the right side. The solution to this equation could not be determined.
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