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Simplifying a2 + 15a + 66 = 0 Reorder the terms: 66 + 15a + a2 = 0 Solving 66 + 15a + a2 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '-66' to each side of the equation. 66 + 15a + -66 + a2 = 0 + -66 Reorder the terms: 66 + -66 + 15a + a2 = 0 + -66 Combine like terms: 66 + -66 = 0 0 + 15a + a2 = 0 + -66 15a + a2 = 0 + -66 Combine like terms: 0 + -66 = -66 15a + a2 = -66 The a term is 15a. Take half its coefficient (7.5). Square it (56.25) and add it to both sides. Add '56.25' to each side of the equation. 15a + 56.25 + a2 = -66 + 56.25 Reorder the terms: 56.25 + 15a + a2 = -66 + 56.25 Combine like terms: -66 + 56.25 = -9.75 56.25 + 15a + a2 = -9.75 Factor a perfect square on the left side: (a + 7.5)(a + 7.5) = -9.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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