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Simplifying a2 + 4a + 45 = 17 Reorder the terms: 45 + 4a + a2 = 17 Solving 45 + 4a + a2 = 17 Solving for variable 'a'. Reorder the terms: 45 + -17 + 4a + a2 = 17 + -17 Combine like terms: 45 + -17 = 28 28 + 4a + a2 = 17 + -17 Combine like terms: 17 + -17 = 0 28 + 4a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '-28' to each side of the equation. 28 + 4a + -28 + a2 = 0 + -28 Reorder the terms: 28 + -28 + 4a + a2 = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 4a + a2 = 0 + -28 4a + a2 = 0 + -28 Combine like terms: 0 + -28 = -28 4a + a2 = -28 The a term is 4a. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4a + 4 + a2 = -28 + 4 Reorder the terms: 4 + 4a + a2 = -28 + 4 Combine like terms: -28 + 4 = -24 4 + 4a + a2 = -24 Factor a perfect square on the left side: (a + 2)(a + 2) = -24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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