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Simplifying 38 = -11a + -1a2 Solving 38 = -11a + -1a2 Solving for variable 'a'. Reorder the terms: 38 + 11a + a2 = -11a + 11a + -1a2 + a2 Combine like terms: -11a + 11a = 0 38 + 11a + a2 = 0 + -1a2 + a2 38 + 11a + a2 = -1a2 + a2 Combine like terms: -1a2 + a2 = 0 38 + 11a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '-38' to each side of the equation. 38 + 11a + -38 + a2 = 0 + -38 Reorder the terms: 38 + -38 + 11a + a2 = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 11a + a2 = 0 + -38 11a + a2 = 0 + -38 Combine like terms: 0 + -38 = -38 11a + a2 = -38 The a term is 11a. Take half its coefficient (5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. 11a + 30.25 + a2 = -38 + 30.25 Reorder the terms: 30.25 + 11a + a2 = -38 + 30.25 Combine like terms: -38 + 30.25 = -7.75 30.25 + 11a + a2 = -7.75 Factor a perfect square on the left side: (a + 5.5)(a + 5.5) = -7.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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