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Simplifying a2 + 12a + 66 = 0 Reorder the terms: 66 + 12a + a2 = 0 Solving 66 + 12a + 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 + 12a + -66 + a2 = 0 + -66 Reorder the terms: 66 + -66 + 12a + a2 = 0 + -66 Combine like terms: 66 + -66 = 0 0 + 12a + a2 = 0 + -66 12a + a2 = 0 + -66 Combine like terms: 0 + -66 = -66 12a + a2 = -66 The a term is 12a. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12a + 36 + a2 = -66 + 36 Reorder the terms: 36 + 12a + a2 = -66 + 36 Combine like terms: -66 + 36 = -30 36 + 12a + a2 = -30 Factor a perfect square on the left side: (a + 6)(a + 6) = -30 Can't calculate square root of the right side. The solution to this equation could not be determined.
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