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Simplifying a2 + 7a = -36 Reorder the terms: 7a + a2 = -36 Solving 7a + a2 = -36 Solving for variable 'a'. Reorder the terms: 36 + 7a + a2 = -36 + 36 Combine like terms: -36 + 36 = 0 36 + 7a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '-36' to each side of the equation. 36 + 7a + -36 + a2 = 0 + -36 Reorder the terms: 36 + -36 + 7a + a2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 7a + a2 = 0 + -36 7a + a2 = 0 + -36 Combine like terms: 0 + -36 = -36 7a + a2 = -36 The a term is 7a. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7a + 12.25 + a2 = -36 + 12.25 Reorder the terms: 12.25 + 7a + a2 = -36 + 12.25 Combine like terms: -36 + 12.25 = -23.75 12.25 + 7a + a2 = -23.75 Factor a perfect square on the left side: (a + 3.5)(a + 3.5) = -23.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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