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Simplifying x2 + 32x + 447 = 0 Reorder the terms: 447 + 32x + x2 = 0 Solving 447 + 32x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-447' to each side of the equation. 447 + 32x + -447 + x2 = 0 + -447 Reorder the terms: 447 + -447 + 32x + x2 = 0 + -447 Combine like terms: 447 + -447 = 0 0 + 32x + x2 = 0 + -447 32x + x2 = 0 + -447 Combine like terms: 0 + -447 = -447 32x + x2 = -447 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 = -447 + 256 Reorder the terms: 256 + 32x + x2 = -447 + 256 Combine like terms: -447 + 256 = -191 256 + 32x + x2 = -191 Factor a perfect square on the left side: (x + 16)(x + 16) = -191 Can't calculate square root of the right side. The solution to this equation could not be determined.
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