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Simplifying 2x2 + 34x + 619 = 0 Reorder the terms: 619 + 34x + 2x2 = 0 Solving 619 + 34x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 309.5 + 17x + x2 = 0 Move the constant term to the right: Add '-309.5' to each side of the equation. 309.5 + 17x + -309.5 + x2 = 0 + -309.5 Reorder the terms: 309.5 + -309.5 + 17x + x2 = 0 + -309.5 Combine like terms: 309.5 + -309.5 = 0.0 0.0 + 17x + x2 = 0 + -309.5 17x + x2 = 0 + -309.5 Combine like terms: 0 + -309.5 = -309.5 17x + x2 = -309.5 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 = -309.5 + 72.25 Reorder the terms: 72.25 + 17x + x2 = -309.5 + 72.25 Combine like terms: -309.5 + 72.25 = -237.25 72.25 + 17x + x2 = -237.25 Factor a perfect square on the left side: (x + 8.5)(x + 8.5) = -237.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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