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Simplifying x2 + 1 + 8x + 8 + 12 = 0 Reorder the terms: 1 + 8 + 12 + 8x + x2 = 0 Combine like terms: 1 + 8 = 9 9 + 12 + 8x + x2 = 0 Combine like terms: 9 + 12 = 21 21 + 8x + x2 = 0 Solving 21 + 8x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-21' to each side of the equation. 21 + 8x + -21 + x2 = 0 + -21 Reorder the terms: 21 + -21 + 8x + x2 = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 8x + x2 = 0 + -21 8x + x2 = 0 + -21 Combine like terms: 0 + -21 = -21 8x + x2 = -21 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 = -21 + 16 Reorder the terms: 16 + 8x + x2 = -21 + 16 Combine like terms: -21 + 16 = -5 16 + 8x + x2 = -5 Factor a perfect square on the left side: (x + 4)(x + 4) = -5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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