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Simplifying x2 + 32x + 512 = 0 Reorder the terms: 512 + 32x + x2 = 0 Solving 512 + 32x + 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 + 32x + -512 + x2 = 0 + -512 Reorder the terms: 512 + -512 + 32x + x2 = 0 + -512 Combine like terms: 512 + -512 = 0 0 + 32x + x2 = 0 + -512 32x + x2 = 0 + -512 Combine like terms: 0 + -512 = -512 32x + x2 = -512 The x term is 32x. Take half its coefficient (16). Square it (256) and add it to both sides. Add '256' to each side of the equation. 32x + 256 + x2 = -512 + 256 Reorder the terms: 256 + 32x + x2 = -512 + 256 Combine like terms: -512 + 256 = -256 256 + 32x + x2 = -256 Factor a perfect square on the left side: (x + 16)(x + 16) = -256 Can't calculate square root of the right side. The solution to this equation could not be determined.
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