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Simplifying a2 + 14a + 80 = 0 Reorder the terms: 80 + 14a + a2 = 0 Solving 80 + 14a + a2 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '-80' to each side of the equation. 80 + 14a + -80 + a2 = 0 + -80 Reorder the terms: 80 + -80 + 14a + a2 = 0 + -80 Combine like terms: 80 + -80 = 0 0 + 14a + a2 = 0 + -80 14a + a2 = 0 + -80 Combine like terms: 0 + -80 = -80 14a + a2 = -80 The a term is 14a. Take half its coefficient (7). Square it (49) and add it to both sides. Add '49' to each side of the equation. 14a + 49 + a2 = -80 + 49 Reorder the terms: 49 + 14a + a2 = -80 + 49 Combine like terms: -80 + 49 = -31 49 + 14a + a2 = -31 Factor a perfect square on the left side: (a + 7)(a + 7) = -31 Can't calculate square root of the right side. The solution to this equation could not be determined.
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