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Simplifying q2 + 8q + 27 = 0 Reorder the terms: 27 + 8q + q2 = 0 Solving 27 + 8q + q2 = 0 Solving for variable 'q'. Begin completing the square. Move the constant term to the right: Add '-27' to each side of the equation. 27 + 8q + -27 + q2 = 0 + -27 Reorder the terms: 27 + -27 + 8q + q2 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 8q + q2 = 0 + -27 8q + q2 = 0 + -27 Combine like terms: 0 + -27 = -27 8q + q2 = -27 The q term is 8q. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8q + 16 + q2 = -27 + 16 Reorder the terms: 16 + 8q + q2 = -27 + 16 Combine like terms: -27 + 16 = -11 16 + 8q + q2 = -11 Factor a perfect square on the left side: (q + 4)(q + 4) = -11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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