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Simplifying w2 + 6w + 19 = 0 Reorder the terms: 19 + 6w + w2 = 0 Solving 19 + 6w + w2 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '-19' to each side of the equation. 19 + 6w + -19 + w2 = 0 + -19 Reorder the terms: 19 + -19 + 6w + w2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 6w + w2 = 0 + -19 6w + w2 = 0 + -19 Combine like terms: 0 + -19 = -19 6w + w2 = -19 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 = -19 + 9 Reorder the terms: 9 + 6w + w2 = -19 + 9 Combine like terms: -19 + 9 = -10 9 + 6w + w2 = -10 Factor a perfect square on the left side: (w + 3)(w + 3) = -10 Can't calculate square root of the right side. The solution to this equation could not be determined.
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