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Simplifying 5 + a = 9 + a2 Solving 5 + a = 9 + a2 Solving for variable 'a'. Reorder the terms: 5 + -9 + a + -1a2 = 9 + a2 + -9 + -1a2 Combine like terms: 5 + -9 = -4 -4 + a + -1a2 = 9 + a2 + -9 + -1a2 Reorder the terms: -4 + a + -1a2 = 9 + -9 + a2 + -1a2 Combine like terms: 9 + -9 = 0 -4 + a + -1a2 = 0 + a2 + -1a2 -4 + a + -1a2 = a2 + -1a2 Combine like terms: a2 + -1a2 = 0 -4 + a + -1a2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 4 + -1a + a2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -1a + -4 + a2 = 0 + -4 Reorder the terms: 4 + -4 + -1a + a2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1a + a2 = 0 + -4 -1a + a2 = 0 + -4 Combine like terms: 0 + -4 = -4 -1a + a2 = -4 The a term is a. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1a + 0.25 + a2 = -4 + 0.25 Reorder the terms: 0.25 + -1a + a2 = -4 + 0.25 Combine like terms: -4 + 0.25 = -3.75 0.25 + -1a + a2 = -3.75 Factor a perfect square on the left side: (a + 0.5)(a + 0.5) = -3.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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