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Simplifying x2 + 16x + 512 = 0 Reorder the terms: 512 + 16x + x2 = 0 Solving 512 + 16x + 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 + 16x + -512 + x2 = 0 + -512 Reorder the terms: 512 + -512 + 16x + x2 = 0 + -512 Combine like terms: 512 + -512 = 0 0 + 16x + x2 = 0 + -512 16x + x2 = 0 + -512 Combine like terms: 0 + -512 = -512 16x + x2 = -512 The x term is 16x. Take half its coefficient (8). Square it (64) and add it to both sides. Add '64' to each side of the equation. 16x + 64 + x2 = -512 + 64 Reorder the terms: 64 + 16x + x2 = -512 + 64 Combine like terms: -512 + 64 = -448 64 + 16x + x2 = -448 Factor a perfect square on the left side: (x + 8)(x + 8) = -448 Can't calculate square root of the right side. The solution to this equation could not be determined.
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