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Simplifying a2 + 18a + 85 = 0 Reorder the terms: 85 + 18a + a2 = 0 Solving 85 + 18a + a2 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '-85' to each side of the equation. 85 + 18a + -85 + a2 = 0 + -85 Reorder the terms: 85 + -85 + 18a + a2 = 0 + -85 Combine like terms: 85 + -85 = 0 0 + 18a + a2 = 0 + -85 18a + a2 = 0 + -85 Combine like terms: 0 + -85 = -85 18a + a2 = -85 The a term is 18a. Take half its coefficient (9). Square it (81) and add it to both sides. Add '81' to each side of the equation. 18a + 81 + a2 = -85 + 81 Reorder the terms: 81 + 18a + a2 = -85 + 81 Combine like terms: -85 + 81 = -4 81 + 18a + a2 = -4 Factor a perfect square on the left side: (a + 9)(a + 9) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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