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Simplifying x2 + 10x + 512 = 0 Reorder the terms: 512 + 10x + x2 = 0 Solving 512 + 10x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-512' to each side of the equation. 512 + 10x + -512 + x2 = 0 + -512 Reorder the terms: 512 + -512 + 10x + x2 = 0 + -512 Combine like terms: 512 + -512 = 0 0 + 10x + x2 = 0 + -512 10x + x2 = 0 + -512 Combine like terms: 0 + -512 = -512 10x + x2 = -512 The x term is 10x. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10x + 25 + x2 = -512 + 25 Reorder the terms: 25 + 10x + x2 = -512 + 25 Combine like terms: -512 + 25 = -487 25 + 10x + x2 = -487 Factor a perfect square on the left side: (x + 5)(x + 5) = -487 Can't calculate square root of the right side. The solution to this equation could not be determined.
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