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Simplifying x2 + 12x + 36 = -27 Reorder the terms: 36 + 12x + x2 = -27 Solving 36 + 12x + x2 = -27 Solving for variable 'x'. Reorder the terms: 36 + 27 + 12x + x2 = -27 + 27 Combine like terms: 36 + 27 = 63 63 + 12x + x2 = -27 + 27 Combine like terms: -27 + 27 = 0 63 + 12x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-63' to each side of the equation. 63 + 12x + -63 + x2 = 0 + -63 Reorder the terms: 63 + -63 + 12x + x2 = 0 + -63 Combine like terms: 63 + -63 = 0 0 + 12x + x2 = 0 + -63 12x + x2 = 0 + -63 Combine like terms: 0 + -63 = -63 12x + x2 = -63 The x term is 12x. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12x + 36 + x2 = -63 + 36 Reorder the terms: 36 + 12x + x2 = -63 + 36 Combine like terms: -63 + 36 = -27 36 + 12x + x2 = -27 Factor a perfect square on the left side: (x + 6)(x + 6) = -27 Can't calculate square root of the right side. The solution to this equation could not be determined.
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