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Simplifying a2 + 60 = 2a Reorder the terms: 60 + a2 = 2a Solving 60 + a2 = 2a Solving for variable 'a'. Reorder the terms: 60 + -2a + a2 = 2a + -2a Combine like terms: 2a + -2a = 0 60 + -2a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '-60' to each side of the equation. 60 + -2a + -60 + a2 = 0 + -60 Reorder the terms: 60 + -60 + -2a + a2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -2a + a2 = 0 + -60 -2a + a2 = 0 + -60 Combine like terms: 0 + -60 = -60 -2a + a2 = -60 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 = -60 + 1 Reorder the terms: 1 + -2a + a2 = -60 + 1 Combine like terms: -60 + 1 = -59 1 + -2a + a2 = -59 Factor a perfect square on the left side: (a + -1)(a + -1) = -59 Can't calculate square root of the right side. The solution to this equation could not be determined.
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