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Simplifying 8x2 + 200x + 3125 = 0 Reorder the terms: 3125 + 200x + 8x2 = 0 Solving 3125 + 200x + 8x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 390.625 + 25x + x2 = 0 Move the constant term to the right: Add '-390.625' to each side of the equation. 390.625 + 25x + -390.625 + x2 = 0 + -390.625 Reorder the terms: 390.625 + -390.625 + 25x + x2 = 0 + -390.625 Combine like terms: 390.625 + -390.625 = 0.000 0.000 + 25x + x2 = 0 + -390.625 25x + x2 = 0 + -390.625 Combine like terms: 0 + -390.625 = -390.625 25x + x2 = -390.625 The x term is 25x. Take half its coefficient (12.5). Square it (156.25) and add it to both sides. Add '156.25' to each side of the equation. 25x + 156.25 + x2 = -390.625 + 156.25 Reorder the terms: 156.25 + 25x + x2 = -390.625 + 156.25 Combine like terms: -390.625 + 156.25 = -234.375 156.25 + 25x + x2 = -234.375 Factor a perfect square on the left side: (x + 12.5)(x + 12.5) = -234.375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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