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Simplifying a2 + -4.5a + 9 = 0 Reorder the terms: 9 + -4.5a + a2 = 0 Solving 9 + -4.5a + a2 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + -4.5a + -9 + a2 = 0 + -9 Reorder the terms: 9 + -9 + -4.5a + a2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4.5a + a2 = 0 + -9 -4.5a + a2 = 0 + -9 Combine like terms: 0 + -9 = -9 -4.5a + a2 = -9 The a term is -4.5a. Take half its coefficient (-2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. -4.5a + 5.0625 + a2 = -9 + 5.0625 Reorder the terms: 5.0625 + -4.5a + a2 = -9 + 5.0625 Combine like terms: -9 + 5.0625 = -3.9375 5.0625 + -4.5a + a2 = -3.9375 Factor a perfect square on the left side: (a + -2.25)(a + -2.25) = -3.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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