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Simplifying w2 + 3w + 14 = 0 Reorder the terms: 14 + 3w + w2 = 0 Solving 14 + 3w + w2 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '-14' to each side of the equation. 14 + 3w + -14 + w2 = 0 + -14 Reorder the terms: 14 + -14 + 3w + w2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 3w + w2 = 0 + -14 3w + w2 = 0 + -14 Combine like terms: 0 + -14 = -14 3w + w2 = -14 The w term is 3w. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3w + 2.25 + w2 = -14 + 2.25 Reorder the terms: 2.25 + 3w + w2 = -14 + 2.25 Combine like terms: -14 + 2.25 = -11.75 2.25 + 3w + w2 = -11.75 Factor a perfect square on the left side: (w + 1.5)(w + 1.5) = -11.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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