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Simplifying a2 + -2a + 16 = 0 Reorder the terms: 16 + -2a + a2 = 0 Solving 16 + -2a + a2 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '-16' to each side of the equation. 16 + -2a + -16 + a2 = 0 + -16 Reorder the terms: 16 + -16 + -2a + a2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -2a + a2 = 0 + -16 -2a + a2 = 0 + -16 Combine like terms: 0 + -16 = -16 -2a + a2 = -16 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 = -16 + 1 Reorder the terms: 1 + -2a + a2 = -16 + 1 Combine like terms: -16 + 1 = -15 1 + -2a + a2 = -15 Factor a perfect square on the left side: (a + -1)(a + -1) = -15 Can't calculate square root of the right side. The solution to this equation could not be determined.
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