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Simplifying x2 + 512 = 32x Reorder the terms: 512 + x2 = 32x Solving 512 + x2 = 32x Solving for variable 'x'. Reorder the terms: 512 + -32x + x2 = 32x + -32x Combine like terms: 32x + -32x = 0 512 + -32x + x2 = 0 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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