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Simplifying 2x2 + 46x + 529 = 0 Reorder the terms: 529 + 46x + 2x2 = 0 Solving 529 + 46x + 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'. 264.5 + 23x + x2 = 0 Move the constant term to the right: Add '-264.5' to each side of the equation. 264.5 + 23x + -264.5 + x2 = 0 + -264.5 Reorder the terms: 264.5 + -264.5 + 23x + x2 = 0 + -264.5 Combine like terms: 264.5 + -264.5 = 0.0 0.0 + 23x + x2 = 0 + -264.5 23x + x2 = 0 + -264.5 Combine like terms: 0 + -264.5 = -264.5 23x + x2 = -264.5 The x term is 23x. Take half its coefficient (11.5). Square it (132.25) and add it to both sides. Add '132.25' to each side of the equation. 23x + 132.25 + x2 = -264.5 + 132.25 Reorder the terms: 132.25 + 23x + x2 = -264.5 + 132.25 Combine like terms: -264.5 + 132.25 = -132.25 132.25 + 23x + x2 = -132.25 Factor a perfect square on the left side: (x + 11.5)(x + 11.5) = -132.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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