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Simplifying 2x2 + -25x + 156.25 = 0 Reorder the terms: 156.25 + -25x + 2x2 = 0 Solving 156.25 + -25x + 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'. 78.125 + -12.5x + x2 = 0 Move the constant term to the right: Add '-78.125' to each side of the equation. 78.125 + -12.5x + -78.125 + x2 = 0 + -78.125 Reorder the terms: 78.125 + -78.125 + -12.5x + x2 = 0 + -78.125 Combine like terms: 78.125 + -78.125 = 0.000 0.000 + -12.5x + x2 = 0 + -78.125 -12.5x + x2 = 0 + -78.125 Combine like terms: 0 + -78.125 = -78.125 -12.5x + x2 = -78.125 The x term is -12.5x. Take half its coefficient (-6.25). Square it (39.0625) and add it to both sides. Add '39.0625' to each side of the equation. -12.5x + 39.0625 + x2 = -78.125 + 39.0625 Reorder the terms: 39.0625 + -12.5x + x2 = -78.125 + 39.0625 Combine like terms: -78.125 + 39.0625 = -39.0625 39.0625 + -12.5x + x2 = -39.0625 Factor a perfect square on the left side: (x + -6.25)(x + -6.25) = -39.0625 Can't calculate square root of the right side. The solution to this equation could not be determined.
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