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Simplifying a2 + 18a + 130 = 0 Reorder the terms: 130 + 18a + a2 = 0 Solving 130 + 18a + a2 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '-130' to each side of the equation. 130 + 18a + -130 + a2 = 0 + -130 Reorder the terms: 130 + -130 + 18a + a2 = 0 + -130 Combine like terms: 130 + -130 = 0 0 + 18a + a2 = 0 + -130 18a + a2 = 0 + -130 Combine like terms: 0 + -130 = -130 18a + a2 = -130 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 = -130 + 81 Reorder the terms: 81 + 18a + a2 = -130 + 81 Combine like terms: -130 + 81 = -49 81 + 18a + a2 = -49 Factor a perfect square on the left side: (a + 9)(a + 9) = -49 Can't calculate square root of the right side. The solution to this equation could not be determined.
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