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Simplifying x2 + -1x + 564 = 23.78 Reorder the terms: 564 + -1x + x2 = 23.78 Solving 564 + -1x + x2 = 23.78 Solving for variable 'x'. Reorder the terms: 564 + -23.78 + -1x + x2 = 23.78 + -23.78 Combine like terms: 564 + -23.78 = 540.22 540.22 + -1x + x2 = 23.78 + -23.78 Combine like terms: 23.78 + -23.78 = 0.00 540.22 + -1x + x2 = 0.00 Begin completing the square. Move the constant term to the right: Add '-540.22' to each side of the equation. 540.22 + -1x + -540.22 + x2 = 0.00 + -540.22 Reorder the terms: 540.22 + -540.22 + -1x + x2 = 0.00 + -540.22 Combine like terms: 540.22 + -540.22 = 0.00 0.00 + -1x + x2 = 0.00 + -540.22 -1x + x2 = 0.00 + -540.22 Combine like terms: 0.00 + -540.22 = -540.22 -1x + x2 = -540.22 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -540.22 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -540.22 + 0.25 Combine like terms: -540.22 + 0.25 = -539.97 0.25 + -1x + x2 = -539.97 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -539.97 Can't calculate square root of the right side. The solution to this equation could not be determined.
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