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Simplifying a2 + 8a + 29 = 12 Reorder the terms: 29 + 8a + a2 = 12 Solving 29 + 8a + a2 = 12 Solving for variable 'a'. Reorder the terms: 29 + -12 + 8a + a2 = 12 + -12 Combine like terms: 29 + -12 = 17 17 + 8a + a2 = 12 + -12 Combine like terms: 12 + -12 = 0 17 + 8a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '-17' to each side of the equation. 17 + 8a + -17 + a2 = 0 + -17 Reorder the terms: 17 + -17 + 8a + a2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 8a + a2 = 0 + -17 8a + a2 = 0 + -17 Combine like terms: 0 + -17 = -17 8a + a2 = -17 The a term is 8a. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8a + 16 + a2 = -17 + 16 Reorder the terms: 16 + 8a + a2 = -17 + 16 Combine like terms: -17 + 16 = -1 16 + 8a + a2 = -1 Factor a perfect square on the left side: (a + 4)(a + 4) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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