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Simplifying a2 + 10a + 69 = 6 + -69 Reorder the terms: 69 + 10a + a2 = 6 + -69 Combine like terms: 6 + -69 = -63 69 + 10a + a2 = -63 Solving 69 + 10a + a2 = -63 Solving for variable 'a'. Reorder the terms: 69 + 63 + 10a + a2 = -63 + 63 Combine like terms: 69 + 63 = 132 132 + 10a + a2 = -63 + 63 Combine like terms: -63 + 63 = 0 132 + 10a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '-132' to each side of the equation. 132 + 10a + -132 + a2 = 0 + -132 Reorder the terms: 132 + -132 + 10a + a2 = 0 + -132 Combine like terms: 132 + -132 = 0 0 + 10a + a2 = 0 + -132 10a + a2 = 0 + -132 Combine like terms: 0 + -132 = -132 10a + a2 = -132 The a term is 10a. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10a + 25 + a2 = -132 + 25 Reorder the terms: 25 + 10a + a2 = -132 + 25 Combine like terms: -132 + 25 = -107 25 + 10a + a2 = -107 Factor a perfect square on the left side: (a + 5)(a + 5) = -107 Can't calculate square root of the right side. The solution to this equation could not be determined.
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