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Simplifying 0 = -8 + -2a + -1a2 Solving 0 = -8 + -2a + -1a2 Solving for variable 'a'. Combine like terms: 0 + 8 = 8 8 + 2a + a2 = -8 + -2a + -1a2 + 8 + 2a + a2 Reorder the terms: 8 + 2a + a2 = -8 + 8 + -2a + 2a + -1a2 + a2 Combine like terms: -8 + 8 = 0 8 + 2a + a2 = 0 + -2a + 2a + -1a2 + a2 8 + 2a + a2 = -2a + 2a + -1a2 + a2 Combine like terms: -2a + 2a = 0 8 + 2a + a2 = 0 + -1a2 + a2 8 + 2a + a2 = -1a2 + a2 Combine like terms: -1a2 + a2 = 0 8 + 2a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + 2a + -8 + a2 = 0 + -8 Reorder the terms: 8 + -8 + 2a + a2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2a + a2 = 0 + -8 2a + a2 = 0 + -8 Combine like terms: 0 + -8 = -8 2a + a2 = -8 The a term is 2a. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2a + 1 + a2 = -8 + 1 Reorder the terms: 1 + 2a + a2 = -8 + 1 Combine like terms: -8 + 1 = -7 1 + 2a + a2 = -7 Factor a perfect square on the left side: (a + 1)(a + 1) = -7 Can't calculate square root of the right side. The solution to this equation could not be determined.
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