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Simplifying x2 + -6x + 1024 = 0 Reorder the terms: 1024 + -6x + x2 = 0 Solving 1024 + -6x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-1024' to each side of the equation. 1024 + -6x + -1024 + x2 = 0 + -1024 Reorder the terms: 1024 + -1024 + -6x + x2 = 0 + -1024 Combine like terms: 1024 + -1024 = 0 0 + -6x + x2 = 0 + -1024 -6x + x2 = 0 + -1024 Combine like terms: 0 + -1024 = -1024 -6x + x2 = -1024 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -1024 + 9 Reorder the terms: 9 + -6x + x2 = -1024 + 9 Combine like terms: -1024 + 9 = -1015 9 + -6x + x2 = -1015 Factor a perfect square on the left side: (x + -3)(x + -3) = -1015 Can't calculate square root of the right side. The solution to this equation could not be determined.
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