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Simplifying x2 + 17x + 289 = 0 Reorder the terms: 289 + 17x + x2 = 0 Solving 289 + 17x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-289' to each side of the equation. 289 + 17x + -289 + x2 = 0 + -289 Reorder the terms: 289 + -289 + 17x + x2 = 0 + -289 Combine like terms: 289 + -289 = 0 0 + 17x + x2 = 0 + -289 17x + x2 = 0 + -289 Combine like terms: 0 + -289 = -289 17x + x2 = -289 The x term is 17x. Take half its coefficient (8.5). Square it (72.25) and add it to both sides. Add '72.25' to each side of the equation. 17x + 72.25 + x2 = -289 + 72.25 Reorder the terms: 72.25 + 17x + x2 = -289 + 72.25 Combine like terms: -289 + 72.25 = -216.75 72.25 + 17x + x2 = -216.75 Factor a perfect square on the left side: (x + 8.5)(x + 8.5) = -216.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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