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Simplifying 2a + -1a2 = 13 Solving 2a + -1a2 = 13 Solving for variable 'a'. Reorder the terms: -13 + 2a + -1a2 = 13 + -13 Combine like terms: 13 + -13 = 0 -13 + 2a + -1a2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 13 + -2a + a2 = 0 Move the constant term to the right: Add '-13' to each side of the equation. 13 + -2a + -13 + a2 = 0 + -13 Reorder the terms: 13 + -13 + -2a + a2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2a + a2 = 0 + -13 -2a + a2 = 0 + -13 Combine like terms: 0 + -13 = -13 -2a + a2 = -13 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 = -13 + 1 Reorder the terms: 1 + -2a + a2 = -13 + 1 Combine like terms: -13 + 1 = -12 1 + -2a + a2 = -12 Factor a perfect square on the left side: (a + -1)(a + -1) = -12 Can't calculate square root of the right side. The solution to this equation could not be determined.
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