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Simplifying x2 + 55x + 51625 = 0 Reorder the terms: 51625 + 55x + x2 = 0 Solving 51625 + 55x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-51625' to each side of the equation. 51625 + 55x + -51625 + x2 = 0 + -51625 Reorder the terms: 51625 + -51625 + 55x + x2 = 0 + -51625 Combine like terms: 51625 + -51625 = 0 0 + 55x + x2 = 0 + -51625 55x + x2 = 0 + -51625 Combine like terms: 0 + -51625 = -51625 55x + x2 = -51625 The x term is 55x. Take half its coefficient (27.5). Square it (756.25) and add it to both sides. Add '756.25' to each side of the equation. 55x + 756.25 + x2 = -51625 + 756.25 Reorder the terms: 756.25 + 55x + x2 = -51625 + 756.25 Combine like terms: -51625 + 756.25 = -50868.75 756.25 + 55x + x2 = -50868.75 Factor a perfect square on the left side: (x + 27.5)(x + 27.5) = -50868.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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