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Simplifying a2 + -8a + 23 = 0 Reorder the terms: 23 + -8a + a2 = 0 Solving 23 + -8a + a2 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '-23' to each side of the equation. 23 + -8a + -23 + a2 = 0 + -23 Reorder the terms: 23 + -23 + -8a + a2 = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -8a + a2 = 0 + -23 -8a + a2 = 0 + -23 Combine like terms: 0 + -23 = -23 -8a + a2 = -23 The a term is -8a. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8a + 16 + a2 = -23 + 16 Reorder the terms: 16 + -8a + a2 = -23 + 16 Combine like terms: -23 + 16 = -7 16 + -8a + a2 = -7 Factor a perfect square on the left side: (a + -4)(a + -4) = -7 Can't calculate square root of the right side. The solution to this equation could not be determined.
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