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Simplifying x2 + 125x + 12600 = 0 Reorder the terms: 12600 + 125x + x2 = 0 Solving 12600 + 125x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-12600' to each side of the equation. 12600 + 125x + -12600 + x2 = 0 + -12600 Reorder the terms: 12600 + -12600 + 125x + x2 = 0 + -12600 Combine like terms: 12600 + -12600 = 0 0 + 125x + x2 = 0 + -12600 125x + x2 = 0 + -12600 Combine like terms: 0 + -12600 = -12600 125x + x2 = -12600 The x term is 125x. Take half its coefficient (62.5). Square it (3906.25) and add it to both sides. Add '3906.25' to each side of the equation. 125x + 3906.25 + x2 = -12600 + 3906.25 Reorder the terms: 3906.25 + 125x + x2 = -12600 + 3906.25 Combine like terms: -12600 + 3906.25 = -8693.75 3906.25 + 125x + x2 = -8693.75 Factor a perfect square on the left side: (x + 62.5)(x + 62.5) = -8693.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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