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Simplifying x2 + 51x + 4356 = 0 Reorder the terms: 4356 + 51x + x2 = 0 Solving 4356 + 51x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-4356' to each side of the equation. 4356 + 51x + -4356 + x2 = 0 + -4356 Reorder the terms: 4356 + -4356 + 51x + x2 = 0 + -4356 Combine like terms: 4356 + -4356 = 0 0 + 51x + x2 = 0 + -4356 51x + x2 = 0 + -4356 Combine like terms: 0 + -4356 = -4356 51x + x2 = -4356 The x term is 51x. Take half its coefficient (25.5). Square it (650.25) and add it to both sides. Add '650.25' to each side of the equation. 51x + 650.25 + x2 = -4356 + 650.25 Reorder the terms: 650.25 + 51x + x2 = -4356 + 650.25 Combine like terms: -4356 + 650.25 = -3705.75 650.25 + 51x + x2 = -3705.75 Factor a perfect square on the left side: (x + 25.5)(x + 25.5) = -3705.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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