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Simplifying x2 + 1024 = 5x + 16 Reorder the terms: 1024 + x2 = 5x + 16 Reorder the terms: 1024 + x2 = 16 + 5x Solving 1024 + x2 = 16 + 5x Solving for variable 'x'. Reorder the terms: 1024 + -16 + -5x + x2 = 16 + 5x + -16 + -5x Combine like terms: 1024 + -16 = 1008 1008 + -5x + x2 = 16 + 5x + -16 + -5x Reorder the terms: 1008 + -5x + x2 = 16 + -16 + 5x + -5x Combine like terms: 16 + -16 = 0 1008 + -5x + x2 = 0 + 5x + -5x 1008 + -5x + x2 = 5x + -5x Combine like terms: 5x + -5x = 0 1008 + -5x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-1008' to each side of the equation. 1008 + -5x + -1008 + x2 = 0 + -1008 Reorder the terms: 1008 + -1008 + -5x + x2 = 0 + -1008 Combine like terms: 1008 + -1008 = 0 0 + -5x + x2 = 0 + -1008 -5x + x2 = 0 + -1008 Combine like terms: 0 + -1008 = -1008 -5x + x2 = -1008 The x term is -5x. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = -1008 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -1008 + 6.25 Combine like terms: -1008 + 6.25 = -1001.75 6.25 + -5x + x2 = -1001.75 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -1001.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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