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Simplifying x2 + 34x + 514 = 0 Reorder the terms: 514 + 34x + x2 = 0 Solving 514 + 34x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-514' to each side of the equation. 514 + 34x + -514 + x2 = 0 + -514 Reorder the terms: 514 + -514 + 34x + x2 = 0 + -514 Combine like terms: 514 + -514 = 0 0 + 34x + x2 = 0 + -514 34x + x2 = 0 + -514 Combine like terms: 0 + -514 = -514 34x + x2 = -514 The x term is 34x. Take half its coefficient (17). Square it (289) and add it to both sides. Add '289' to each side of the equation. 34x + 289 + x2 = -514 + 289 Reorder the terms: 289 + 34x + x2 = -514 + 289 Combine like terms: -514 + 289 = -225 289 + 34x + x2 = -225 Factor a perfect square on the left side: (x + 17)(x + 17) = -225 Can't calculate square root of the right side. The solution to this equation could not be determined.
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