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Simplifying a2 + -6a + 217 = 0 Reorder the terms: 217 + -6a + a2 = 0 Solving 217 + -6a + a2 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '-217' to each side of the equation. 217 + -6a + -217 + a2 = 0 + -217 Reorder the terms: 217 + -217 + -6a + a2 = 0 + -217 Combine like terms: 217 + -217 = 0 0 + -6a + a2 = 0 + -217 -6a + a2 = 0 + -217 Combine like terms: 0 + -217 = -217 -6a + a2 = -217 The a term is -6a. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6a + 9 + a2 = -217 + 9 Reorder the terms: 9 + -6a + a2 = -217 + 9 Combine like terms: -217 + 9 = -208 9 + -6a + a2 = -208 Factor a perfect square on the left side: (a + -3)(a + -3) = -208 Can't calculate square root of the right side. The solution to this equation could not be determined.
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