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Simplifying a2 + -6a + 20 = 0 Reorder the terms: 20 + -6a + a2 = 0 Solving 20 + -6a + a2 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + -6a + -20 + a2 = 0 + -20 Reorder the terms: 20 + -20 + -6a + a2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -6a + a2 = 0 + -20 -6a + a2 = 0 + -20 Combine like terms: 0 + -20 = -20 -6a + a2 = -20 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 = -20 + 9 Reorder the terms: 9 + -6a + a2 = -20 + 9 Combine like terms: -20 + 9 = -11 9 + -6a + a2 = -11 Factor a perfect square on the left side: (a + -3)(a + -3) = -11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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