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Simplifying x2 + -8x + 16 = -27 Reorder the terms: 16 + -8x + x2 = -27 Solving 16 + -8x + x2 = -27 Solving for variable 'x'. Reorder the terms: 16 + 27 + -8x + x2 = -27 + 27 Combine like terms: 16 + 27 = 43 43 + -8x + x2 = -27 + 27 Combine like terms: -27 + 27 = 0 43 + -8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-43' to each side of the equation. 43 + -8x + -43 + x2 = 0 + -43 Reorder the terms: 43 + -43 + -8x + x2 = 0 + -43 Combine like terms: 43 + -43 = 0 0 + -8x + x2 = 0 + -43 -8x + x2 = 0 + -43 Combine like terms: 0 + -43 = -43 -8x + x2 = -43 The x term is -8x. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x + 16 + x2 = -43 + 16 Reorder the terms: 16 + -8x + x2 = -43 + 16 Combine like terms: -43 + 16 = -27 16 + -8x + x2 = -27 Factor a perfect square on the left side: (x + -4)(x + -4) = -27 Can't calculate square root of the right side. The solution to this equation could not be determined.
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