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Simplifying a2 + 9a = -682 Reorder the terms: 9a + a2 = -682 Solving 9a + a2 = -682 Solving for variable 'a'. Reorder the terms: 682 + 9a + a2 = -682 + 682 Combine like terms: -682 + 682 = 0 682 + 9a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '-682' to each side of the equation. 682 + 9a + -682 + a2 = 0 + -682 Reorder the terms: 682 + -682 + 9a + a2 = 0 + -682 Combine like terms: 682 + -682 = 0 0 + 9a + a2 = 0 + -682 9a + a2 = 0 + -682 Combine like terms: 0 + -682 = -682 9a + a2 = -682 The a term is 9a. Take half its coefficient (4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. 9a + 20.25 + a2 = -682 + 20.25 Reorder the terms: 20.25 + 9a + a2 = -682 + 20.25 Combine like terms: -682 + 20.25 = -661.75 20.25 + 9a + a2 = -661.75 Factor a perfect square on the left side: (a + 4.5)(a + 4.5) = -661.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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