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Simplifying x2 + -12.5x + 75 = 0 Reorder the terms: 75 + -12.5x + x2 = 0 Solving 75 + -12.5x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-75' to each side of the equation. 75 + -12.5x + -75 + x2 = 0 + -75 Reorder the terms: 75 + -75 + -12.5x + x2 = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -12.5x + x2 = 0 + -75 -12.5x + x2 = 0 + -75 Combine like terms: 0 + -75 = -75 -12.5x + x2 = -75 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 = -75 + 39.0625 Reorder the terms: 39.0625 + -12.5x + x2 = -75 + 39.0625 Combine like terms: -75 + 39.0625 = -35.9375 39.0625 + -12.5x + x2 = -35.9375 Factor a perfect square on the left side: (x + -6.25)(x + -6.25) = -35.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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