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Simplifying w2 + 6w + 11 = 0 Reorder the terms: 11 + 6w + w2 = 0 Solving 11 + 6w + w2 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '-11' to each side of the equation. 11 + 6w + -11 + w2 = 0 + -11 Reorder the terms: 11 + -11 + 6w + w2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 6w + w2 = 0 + -11 6w + w2 = 0 + -11 Combine like terms: 0 + -11 = -11 6w + w2 = -11 The w term is 6w. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6w + 9 + w2 = -11 + 9 Reorder the terms: 9 + 6w + w2 = -11 + 9 Combine like terms: -11 + 9 = -2 9 + 6w + w2 = -2 Factor a perfect square on the left side: (w + 3)(w + 3) = -2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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